Volume and Surface Area of Prisms
A Grade 12 math worksheet on calculating the volume and surface area of various prisms, including rectangular and triangular prisms.
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Volume and Surface Area of Prisms
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Read each question carefully and show all your work. Calculate the volume and surface area for each prism. Round your answers to two decimal places where necessary.
1. A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. Calculate its volume and surface area.
Volume:
Surface Area:
2. A cube has a side length of 7 meters. What is its volume and surface area?
Volume:
Surface Area:
3. A triangular prism has a base that is a right-angled triangle with legs of 6 cm and 8 cm. The height of the prism is 12 cm. Find its volume and surface area.
Volume:
Surface Area:
4. A triangular prism has an equilateral triangle as its base with side lengths of 5 inches. The height of the prism is 10 inches. Calculate its volume and surface area.
Volume:
Surface Area:
5. The formula for the volume of any prism is Base Area × .
6. The surface area of a prism is the sum of the areas of all its .
7. A triangular prism has two triangular bases and three faces.
8. Which of the following units is used to measure volume?
cm
cm²
cm³
cm⁴
9. What is the area of the base of a rectangular prism with length 6 cm and width 4 cm?
10 cm²
24 cm²
20 cm²
48 cm²
10. A gift box is in the shape of a rectangular prism with dimensions 15 cm by 10 cm by 6 cm. If you want to cover the entire box with wrapping paper, what is the minimum amount of wrapping paper (in cm²) you will need?
11. An architect is designing a swimming pool in the shape of a triangular prism. The triangular base has a base of 20 meters and a height of 15 meters. The depth (height) of the pool is 3 meters. How much water (in m³) can the pool hold?