Volume and Surface Area of Prisms
Calculate the volume and surface area of rectangular and triangular prisms.
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Volume and Surface Area of Prisms
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Read each question carefully and answer all parts. Show your work where necessary.
1. Find the volume of the rectangular prism shown below.
Volume =
2. A rectangular box has a length of 10 inches, a width of 4 inches, and a height of 6 inches. What is its volume?
3. The formula for the surface area of a rectangular prism is SA = 2(lw + lh + wh), where l is length, w is width, and h is height. Using this formula, calculate the surface area of a rectangular prism with l = 7 cm, w = 3 cm, and h = 2 cm.
Surface Area =
4. A cube is a special type of rectangular prism where all sides are equal. If a cube has a side length of 5 meters, its surface area is .
5. Which of the following is the correct formula for the volume of a triangular prism?
V = lwh
V = (1/2)bh * H
V = πr²h
V = A + B + C
6. A triangular prism has a base with a base length of 6 cm and a height of 4 cm. The length of the prism is 10 cm. What is its volume?
120 cm³
240 cm³
60 cm³
48 cm³
7. A prism is a three-dimensional shape with two identical bases and rectangular faces.
True
False
8. The surface area of a prism is the amount of space it occupies.
True
False
9. A gift box in the shape of a cube has sides that are 12 cm long. What is the total surface area of the gift box?
10. A swimming pool is 20 meters long, 8 meters wide, and 2 meters deep. How much water can it hold (volume)? If you wanted to paint the inside of the pool (including the bottom), what would be the total surface area to paint?