Area of trapezoidal prism calculator - Our prism volume calculator is designed to make it easy for you to find the volume of any prism. To use the calculator: Enter the area of the base of the prism. Enter the height of the prism. The calculator will automatically calculate the volume of the prism.

 
Jun 8, 2022 · The 3D Trapezoidal Shape calculator computes the volume, surface area and edge lengths of a trapezoidal shape based on the dimensions: INSTRUCTIONS: Choose units and enter the following: (a) Width of Top (b) Length of Top (A) Width of Bottom (B) Length of Bottom (h) Height between Top and Bottom Trapezoid Volume (V): The calculator returns the volume in cubic meters, the surface area in square ... . New york raven chat line

You can see what scammers are up to most in your area. When it comes to scams, knowledge is always power; you’re much less likely to fall for a scam if you’re aware of its existenc...The calculation involves the following formula: Surface Area = 2 * ((a + b) * h1 + (a + b) * h2 + a * c) Where: a: Length of the shorter base of the trapezoid. b: Length of the longer …In geometry, a trapezoid (/ ˈ t r æ p ə z ɔɪ d /) in North American English, or trapezium (/ t r ə ˈ p iː z i ə m /) in British English, is a quadrilateral that has at least one pair of parallel sides.. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a ...Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder. Surface area of a cone: A = πr² + πr√(r² + h²), where r is the radius and h is the height of the cone. Surface area of a rectangular prism (box): A = 2(ab + bc + ac), where a, b and c are the lengths of three sides of the cuboid.Equation for calculate area of trapezoidal prism is, A = (1 2) h (a + b) Where, h is Height of the Trapezoidal. a is Length of the top. b is Length of the bottom. Equation for calculate Area of Trapezoidal Prism.Trapezoid Prism Area Calculator. In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining …The 3D Trapezoidal Shape calculator computes the volume, surface area and edge lengths of a trapezoidal shape based on the dimensions: INSTRUCTIONS: Choose units and enter the following: (a) Width of Top (b) Length of Top (A) Width of Bottom (B) Length of Bottom (h) Height between Top and Bottom Trapezoid Volume (V): The calculator returns the volume in cubic meters, the surface area in square ...Get your free lessons: https://vividmath.comSurface Area of a Trapezoidal PrismSee all Surface Area lessons: https://vividmath.com/geometry/ge-surface-area-a...example 1: Find the area of a trapezoid if a = 14, b = 8 and c = 5. example 2: Find the diagonal of a trapezoid if a = 10, h = 6 and Area = 52. example 3: The perimeter of an isosceles trapezoid is 200cm, the long base is 60cm, the short base is 30cm. Calculate the area of a trapezoid. Find more worked-out examples in the database of solved ...The formula for the volume of a trapezoidal prism is: Volume = Area of Base * Height. Where the area of the base is determined using the formula for the area of a trapezoid: Area of Base = (1/2) * (length of top base + length of bottom base) * height of the trapezoid. What is trapezoidal rule and function?The surface area of a trapezoidal prism can be given with this formula: (b1+b2)h + PH. In this formula, "b1" and "b2" stand for the length of the bases of the trapezoid. The height of the trapezoid is "h". The perimeter of the trapezoid is "P", and "H" is the height of the prism.This is how you find the volume of a trapezoidal prism when all measurements are given to you. This will help you in your Geometry class and in life.To get the area of a trapezoid you need to sum the short and long base of the trapezoid and divide the sum by 2, then multiply by the height of the trapezoid and finally multiply by …Area carpets and rugs in your house are excellent ways to provide comfort and warmth to your space. They can, however, get exceedingly filthy and Expert Advice On Improving Your Ho...Surface Area of Trapezoidal Prism. In this lesson, we will explore the concept of surface area and specifically look at how to calculate the surface area of a trapezoidal prism. A trapezoidal prism is a three-dimensional geometric shape that has two congruent trapezoidal bases connected by rectangular faces.The surface area of a closed cylinder can be calculated by summing the total areas of its base and lateral surface: base SA = 2πr 2. lateral SA = 2πrh. total SA = 2πr (r + h) where r is the radius and h is the height. Jeremy has a large cylindrical fish tank that he bathes in because he doesn't like showers or bathtubs.A Right Prism is one in which the angles between the bases and the lateral edges are right angles. Note that in a right prism, the height and the slant height are the same. An Oblique Prism is one that is not a right prism. The Surface Area of a prism is the sum of the areas of all its faces.Sep 5, 2021 ... VividMath•444K views · 3:52. Go to channel · Volume of a trapezoidal prism part 1. Mr. Q Teaches Geometry•60K views · 5:38. Go to channel &midd...Jun 28, 2014 ... Comments30 ; Find the Volume of Any Shape Using Calculus. Domain of Science · 328K views ; Total surface area and volume of a triangular prism.Feb 10, 2023 ... Volume of a Trapezoidal Prism =21(b1+b2)×h×L Write a bash script to Read the values for b1, b2, h and L and then calculate and print the volume ...The area of your kite is 15.9 ft². To calculate it, plug your given diagonals e = 5.3 ft and f = 6 ft into the following formula: Area = (e × f) / 2. Area = (5.3 ft × 6 ft) / 2. Area = 31.8 ft² / 2. Area = 15.9 ft². two diagonals. two unequal sides and the angle between. The kite area calculator finds the area of a kite if you enter ...Louvers are windows with slats that offer only partial access to the outside. When evaluating a louver you plan to install, the main sizing consideration is its free area. This def...Our trapezoid height calculator is an easy-to-use tool that lets you calculate the height of a trapezoid in three different ways. Whether you know the area or not, we have got you covered. The first method uses a leg and an angle. Here you have the option to input the \text {leg} c legc and ∠α ∠α.Find the lateral area of a trapezoidal prism with a base perimeter of 15 cm and height of 10 cm. Calculate the total surface area of a trapezoidal prism with a base area of 20 sq cm, base perimeter of 12 cm, and height of 8 cm.Our prism volume calculator is designed to make it easy for you to find the volume of any prism. To use the calculator: Enter the area of the base of the prism. Enter the height of the prism. The calculator will automatically calculate the volume of the prism.Jun 28, 2014 ... Comments30 ; Find the Volume of Any Shape Using Calculus. Domain of Science · 328K views ; Total surface area and volume of a triangular prism.Louvers are windows with slats that offer only partial access to the outside. When evaluating a louver you plan to install, the main sizing consideration is its free area. This def...SmartAsset compared 304 metro areas across an different metrics to identify and rank the most fitness-friendly places Calculators Helpful Guides Compare Rates Lender Reviews Calcul...The Trapezoid Volume (Rectangular) calculator computes the volume of trapezoid volume shape based on the dimensions: INSTRUCTIONS: Choose units and enter the following: (a) Width of Top (b) Length of Top (A) Width of Bottom (B) Length of Bottom (h) Height between Top and Bottom Trapezoid Volume (V): The calculator …Formula: v = A × l. Where, A = area, I = Height of the Prism. Use this volume of a trapezoidal prism calculator to find the volume by using area and height values of …Before you pack your bags to relocate, you may want to consider which states have the highest chance for natural disasters. Get top content in our free newsletter. Thousands benefi...A_l – the lateral area of the prism; A – the surface area of the prism; and; V – the volume of the prism. Note that A_b denotes the surface area of a single base of our prism. On the other hand, A_l denotes the lateral area, meaning the total area of the four lateral faces. Therefore, since the solid has two bases (the bottom one and the ...Transcript. Area of a trapezoid is found with the formula, A= (a+b)h/2. To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the "bases") and the height. Add the lengths of the two bases together, and then multiply by the height. Finally, divide by 2 to get the area of the trapezoid.Practical Examples of Trapezoid Area Calculations. Example 1: If the length of base1 is 8 units and base2 is 5 units, with a height of 4 units, the area will be calculated as ( (8+5)/2)*4 = 26 square units. Example 2: For base1 equal to 10 units, base2 equal to 7 units, and a height of 6 units, the area becomes ( (10+7)/2)*6 = 51 square units.It is to determine the surface area of an object. Select the object from the options then answer the questions about length and width. All entries should be numeric. The answer is returned as a number, based on your entries. In the listed formulae for this set of calculations, PI here is used as 3.1415929203539825. Enjoy!The volume of a trapezoidal prism can be calculated using the following formula: Volume = ((a + b) / 2) * h * l. Where: a and b are the lengths of the parallel sides of the trapezoid, h …This Rectangular Prism Volume Calculator is designed to help you determine the volume of a rectangular prism. To use the calculator, simply enter the width, length, and height of the rectangular prism and click "Calculate". As you enter new dimensions into the volume calculator, a running total will also be displayed. Width (w): The total surface area of the prism is the sum of the lateral surface area and the areas of both bases. How to use this Calculator? Using the Prism Surface Area calculator, you can calculate the prism’s lateral surface area and total surface area by inputting the values of the required variables for the specific type of Prism. Calculations for a rectangular prism: 1. Given the length, width and height find the volume, surface area and diagonal of a rectangular prism. h, l and w are known; find V, S and d. V = lwh. S = 2 (lw + lh + wh) d = √ (l 2 + w 2 + h 2) 2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism.Isosceles trapezoid. The area of an isosceles trapezoid can be found in another way, if known angle at the base and the radius of the inscribed circle. The fact is that the center of the inscribed circle, from where the radius originates, is located exactly in the center of the trapezoid, thus equalizing the height and diameter of the circle ...The 3D Trapezoidal Shape calculator computes the volume, surface area and edge lengths of a trapezoidal shape based on the dimensions:. INSTRUCTIONS: Choose units and enter the following: (a) Width of Top(b) Length of Top(A) Width of Bottom(B) Length of Bottom(h) Height between Top and BottomTrapezoid Volume (V): …Discover Resources. Representation of domain and range (quadratic function) Investigation 1. QuadraticFunc_EP03. สามเหลี่ยมพีทาโกรัส. Unit 4 Lesson 6-9 Quiz.To determine where Americans give the most to charity, we compared all 50 states plus Washington D.C., as well as 51 of the largest metro areas. Calculators Helpful Guides Compare ...Surface Area of a Trapezoidal Prism. New Resources. Volume of a Pyramid (Derivation) Surface between curves; A Common Generating Set of Equations Prism is often distinguished by the shape of their base polygon. A trapezoidal prism is a solid prism, which has trapezoid cross-sections in one direction and rectangular cross-sections in the other directions. The volume of a trapezoidal prism calculator can find the volume and area of the trapezoidal prism at the same time. Apart from the ... Oct 22, 2023 ... Please subscribe: https://www.youtube.com/channel/UCHKKyP6ezVQq5KunZVa-Mlg?sub_confirmation=1 To find the volume of a trapezoidal prism, ...To calculate the total surface area of a prism: Find the area of the two end faces. Work out the area of all the rectangular faces in one of two ways: Work out the area of each rectangle ...In the given prism, the two side walls are trapezoids. If we consider one of the trapezoid side walls as base, the height of the prism would be 22 cm. So, the given prism is a trapezoidal prism. Step 2 : Volume of the given prism is = base area x height. or. V = B x h. Step 3 : Find base area. Area of trapezoid with bases of lengths b 1 and b 2 ...Work out the volume of the triangular prism: Write down the formula. Volume of prism = Area of cross section × depth. 2 Calculate the area of the cross section. The area of the triangle is 12cm 212cm2. 3 Calculate the volume of the prism. The depth of the prism is 10cm10cm. 4 Write the answer, including the units.How do I calculate the angles of a trapezoid? To calculate the supplementary angles in pairs, the formula is: ∠α + ∠β = π. ∠γ + ∠δ = π. where: π = 180°. So, if you have α = 100°, then β is obtained by subtracting 100° from 180°, which gives β = 80°. The same procedure is valid for the pair of angles γ and δ.Mar 16, 2015 ... Comments58 ; Rolling a Rectangle. nhgreenmath · 192 views ; Surface Area of a Trapezoid - VividMath.com. VividMath · 195K views ; Volume of a .....To get the area of a trapezoid you need to sum the short and long base of the trapezoid and divide the sum by 2, then multiply by the height of the trapezoid and finally multiply by …In Texas, local entities set the rate for property taxes each fiscal year. If they raise the tax rate up past a level known as the rollback rate, taxpayers in the area can petition...Plan and Elevation of Trapezoidal Footing. 1. The volume of the Truncated Pyramid is given by, From figure-2, ht = height of the pyramid A1 = Area of the bottom surface of the pyramid A2 = Area of the top surface of the pyramid A1 = A x B A2 = a x b 2. The volume of a cuboid is given by, From figure-2, A = Length of the cuboid B = Breadth of ...To calculate the surface area of the right prism shown in Figure 10.129, we first determine the area of the hexagonal base and multiply that by 2, and then add the perimeter of the base times the height. ... Find the volume of the trapezoidal prism in the exercise above where the base and top have the following measurements: side a = 5 cm, ...A Right Prism is one in which the angles between the bases and the lateral edges are right angles. Note that in a right prism, the height and the slant height are the same. An Oblique Prism is one that is not a right prism. The Surface Area of a prism is the sum of the areas of all its faces.Surface Area of a Trapezoidal Prism. New Resources. Volume of a Pyramid (Derivation) Surface between curves; A Common Generating Set of EquationsThe Trapezoid Volume (Rectangular) calculator computes the volume of trapezoid volume shape based on the dimensions: INSTRUCTIONS: Choose units and enter the following: (a) Width of Top (b) Length of Top (A) Width of Bottom (B) Length of Bottom (h) Height between Top and Bottom Trapezoid Volume (V): The calculator …Aug 3, 2023 · Find the lateral and the total surface area of a trapezoidal prism given in the figure. Transcript. Area of a trapezoid is found with the formula, A= (a+b)h/2. To find the area of a trapezoid, you need to know the lengths of the two parallel sides (the "bases") and the height. Add the lengths of the two bases together, and then multiply by the height. Finally, divide by 2 to get the area of the trapezoid.In the given prism, the two side walls are trapezoids. If we consider one of the trapezoid side walls as base, the height of the prism would be 22 cm. So, the given prism is a trapezoidal prism. Step 2 : Volume of the given prism is = base area x height. or. V = B x h. Step 3 : Find base area. Area of trapezoid with bases of lengths b 1 and b 2 ...Surface Area of Trapezoidal Prism. In this lesson, we will explore the concept of surface area and specifically look at how to calculate the surface area of a trapezoidal prism. A trapezoidal prism is a three-dimensional geometric shape that has two congruent trapezoidal bases connected by rectangular faces.To calculate the surface area of the triangular prism, calculate the area of each face and then add them together. Face Area; A=5 \times 6.5=32.5 \mathrm{~mm}^2 : A=5 \times 10=50 \mathrm{~mm}^2 : ... This is a trapezoidal prism. It has a trapezoid as its base. Even though the trapezoids are shown in the front and back position in this image ...In this calculator, we calculate the trapezoidal footing area. As per the below process work with calculator. Step – 1. Fill Footing area Length and Breadth as per below picture shown. In this footing Bottom (base) area and Top …Solution: A = 0.5xh (a+b) = 0.5 x 4 (6+8) Area of Trapezoidal Prism = 28 cm 2. V = A x l. = 28 x 3. Volume of Trapezoidal Prism = 84 cm 3.Step 2: Write down the formula of the trapezoid area. A = (a + b) × h / 2. Step 3: Substitute the values in the formula and calculate the area. A = (4 cm + 6 cm) × 8 / 2. A = 10 cm × 4. A = 40 cm. So, a trapezoid with 8 cm height, 4 cm …The steps to determine the surface area of the prism are: Step 1: Note down the given dimensions of the prism. Step 2: Substitute the dimensions in the surface area of prism formula (2 × Base Area) + (Base …Find the lateral area of a trapezoidal prism with a base perimeter of 15 cm and height of 10 cm. Calculate the total surface area of a trapezoidal prism with a base area of 20 sq cm, base perimeter of 12 cm, and height of 8 cm. Conclusion. As we conclude our exploration of the trapezoidal prism, we hope you’ve found joy in the mathematics ...Calculator A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 49mm^(2). The surface area of the image is 784mm^(2). The height of the pre-image is 6.1mm. What is the height of the image? Enter your answer as a decimal in the box. mmStudents can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Volume and Surface Area of Trapezoid Prisms (C) math worksheet. The size of the PDF file is 21815 bytes.https://drive.google.com/file/d/1dVHnKhlw8SYa1zY8Nn8PEg-3PdwpY3EU/view?usp=sharingHoang Maths websitehttps://sites.google.com/education.nsw.gov.au/hoangmaths...Trapezoidal Area Formula. The area of a trapezoid is found using the formula, A = ½ (a + b) h, where ‘a’ and ‘b’ are the bases (parallel sides) and ‘h’ is the height (the perpendicular distance between the bases) of the trapezoid. Trapezoid Volume Formula. Formula for Volume of a Trapezoidal Prism.Let's look at the reactions to Nike, Costco, and Salesforce to see what happens when they're viewed from a real world perspective....NKE Wall Street shoehorns everything in...Our prism volume calculator is designed to make it easy for you to find the volume of any prism. To use the calculator: Enter the area of the base of the prism. Enter the height of the prism. The calculator will automatically calculate the volume of the prism.The trapezoid rule works by estimating the area under the graph of a function f (y) as a trapezium and computing its area with: ∫^x_y f (j) dj = ( x – y) . f (x) + f (y) / 2. The trapezoidal rule calculator used the Trapezium method to estimate the definite integrals. However, the Online Integral Calculator allows you to find the integrals ...A right trapezoid is indeed special - its height is equal to the length of its shorter side. We can calculate it easily using a modification of the Pythagorean theorem: b = √[d² − (a − c)²] where: b — Shorter base; d — Slant (long) side of a trapezoid; a — Longer base; and. c — Short side (trapezoid's height).Find the lateral area of a trapezoidal prism with a base perimeter of 15 cm and height of 10 cm. Calculate the total surface area of a trapezoidal prism with a base area of 20 sq cm, base perimeter of 12 cm, and height of 8 cm.Step 1: Write the given dimensions of the prism. Step 2: Substitute the given values in the formula S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism. Step 3: Now solve the equation for "Base Area by simplifying the equations".A prism is a transparent element with polished surface which can refract light. Enter the height of the prism and trapezoid and the length of the top and bottom of the prism in the trapezoidal prism volume calculator to find the volume and area of the trapezoidal prism.In the world of geometry and three-dimensional shapes, understanding the volume of a trapezoidal prism is crucial. The Volume of Trapezoid Calculator simplifies this process by providing a quick and accurate means to calculate the volume of such prisms. Formula of Volume of Trapezoid Calculator. The calculator employs the following formula: V ...Decomposing shapes to find area: add. Let's find the area of an irregular 10-sided shape by breaking it into smaller rectangles. We'll learn to decompose complex shapes, calculate the area of each rectangle, and combine those areas to find the total area, making the topic engaging and enjoyable. Created by Lindsay Spears.Trapezoid Volume Formula is given as: V = 1/2 × (a+b) × h × l. where. a and b are the lengths of the trapezoidal bases, h is the height, l is the slant height. Example: Find the Volume of Trapezoid when the bases are 4 cm and 3 cm, height is 6 cm and slant height is 8 cm then calculate the volume of trapezoid prism.The surface area of a closed cylinder can be calculated by summing the total areas of its base and lateral surface: base SA = 2πr 2. lateral SA = 2πrh. total SA = 2πr (r + h) where r is the radius and h is the height. Jeremy has a large cylindrical fish tank that he bathes in because he doesn't like showers or bathtubs.The surface area of a trapezoidal prism can be given with this formula: (b1+b2)h + PH. In this formula, "b1" and "b2" stand for the length of the bases of the trapezoid. The height of the trapezoid is "h". The perimeter of the trapezoid is "P", and "H" is the height of the prism.The procedure to use the surface area of a prism calculator is as follows: Step 1: Enter the base area, perimeter, and height of the prism in the input field. Step 2: Now click the button “Calculate Surface Area” to get the result. Step 3: Finally, the surface area of a prism will be displayed in the output field.

Our trapezoid height calculator is an easy-to-use tool that lets you calculate the height of a trapezoid in three different ways. Whether you know the area or not, we have got you covered. The first method uses a leg and an angle. Here you have the option to input the \text {leg} c legc and ∠α ∠α.. Conway corp internet outage

area of trapezoidal prism calculator

The Trapezoid Area Calculator is a tool designed to calculate the area of a trapezoid when you know the lengths of its two parallel sides and the height. It’s useful for students, engineers, architects, or anyone needing quick calculations for trapezoidal shapes. ... Surface Area of Triangular Prism Online Calculator; Cylinder Surface Area ...Trapezoid Volume Formula is given as: V = 1/2 × (a+b) × h × l. where. a and b are the lengths of the trapezoidal bases, h is the height, l is the slant height. Example: Find the Volume of Trapezoid when the bases are 4 cm and 3 cm, height is 6 cm and slant height is 8 cm then calculate the volume of trapezoid prism.area = √ 115.5 × (115.5 - 77) 3 = 2567.33 sq ft. Since the longest distance between any two points of an equilateral triangle is the length of the edge of the triangle, the farmer reserves the edges of the pool for swimming "laps" in his triangular pool with a maximum length approximately half that of an Olympic pool, but with double the area – all under the watchful eyes of the presiding ...We will find the surface area of a trapezoidal prism in few steps. Explanation: Let's solve this question with the help of a given diagram of the trapezoidal prism. We know that the base of a prism is in the shape of a trapezoid. The surface area of the trapezoidal prism (S) = 2 × area of base + lateral surface area ---- (1) Area of trapezoid ...For example: enter the height and two base lengths, and press 'Calculate'. The area will be calculated. Similarly, if you enter the area and two base lengths, the height needed to get that area will be calculated. Finding the height given the area. How to find the height (altitude) of a trapezoid give the two bases and the area.Advertisement An individual raindrop has a different shape and consistency than a glass prism, but it affects light in a similar way. When white sunlight hits a collection of raind...The volume of the trapezoidal prism can be calculated by multiplying the length of the prism and the area of the base. Let's consider the trapezoidal prism as shown below. First, we will calculate the base area using the formula for area of a trapezoid, A = 1/2 × h × (a + b) ------------ (1) Where, Now, Volume = Area × length of the prism.The surface area of a rectangular prism calculator gives us the answer: A = 2 × l × w + 2 × l × h + 2 × w × h = 2 × 8 ft × 6 ft + 2 × 8 ft × 5 ft + 2 × 6 ft × 5 ft = 236 ft². But that is the …The total surface area of the prism is the sum of the lateral surface area and the areas of both bases. How to use this Calculator? Using the Prism Surface Area calculator, you can calculate the prism’s lateral surface area and total surface area by inputting the values of the required variables for the specific type of Prism. To calculate the volume of a trapezoidal prism, we use the formula: Volume = Base Area × Height. The base area can be found using the formula for the area of a trapezoid. It is important to be aware of common mistakes and to understand the real-world applications of trapezoidal prisms. Our prism volume calculator is designed to make it easy for you to find the volume of any prism. To use the calculator: Enter the area of the base of the prism. Enter the height of the prism. The calculator will automatically calculate the volume of the prism.In this video, we are going to be finding the surface area of a trapezoidal prism.Calculator that gives out the volume of a trapezoidal prism with the given bases, height, and width values.Over 2 million people search for financial calculators every day. Improve your customer engagement with CentSai calculators. *Discount applies to multiple purchases and to annual s...Practical Examples of Trapezoid Area Calculations. Example 1: If the length of base1 is 8 units and base2 is 5 units, with a height of 4 units, the area will be calculated as ( (8+5)/2)*4 = 26 square units. Example 2: For base1 equal to 10 units, base2 equal to 7 units, and a height of 6 units, the area becomes ( (10+7)/2)*6 = 51 square units.For instance, as a trapezoid angle calculator, it will use the identities mentioned in the second section to compute β \beta β and γ \gamma γ. Also, note that we can additionally go into the advanced mode and see the length of the median. If the tool can do it, so can we! Let's see how to calculate the area and perimeter of a trapezoid by hand.A prism is a transparent element with polished surface which can refract light. Enter the height of the prism and trapezoid and the length of the top and bottom of the prism in the trapezoidal prism volume calculator to find the volume and area of the trapezoidal prism..

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