right rectangular prisms & pyramids unit test answers
1. What is the formula for finding the volume of a rectangular prism?
Answer: Volume = length x width x height
2. What is the formula for finding the surface area of a rectangular prism?
Answer: Surface Area = 2(length x width + length x height + width x height)
3. What is the formula for finding the volume of a pyramid?
Answer: Volume = (1/3) x base area x height
4. What is the formula for finding the surface area of a pyramid?
Answer: Surface Area = base area + (1/2) x perimeter of base x slant height
5. A rectangular prism has dimensions of 4 cm by 5 cm by 6 cm. Calculate the volume.
Answer: Volume = 4 cm x 5 cm x 6 cm = 120 cubic cm
6. A rectangular prism has dimensions of 3 cm by 4 cm by 5 cm. Calculate the surface area.
Answer: Surface Area = 2(3 cm x 4 cm + 3 cm x 5 cm + 4 cm x 5 cm) = 94 square cm
7. A pyramid has a base area of 25 square units and a height of 10 units. Calculate the volume.
Answer: Volume = (1/3) x 25 square units x 10 units = 83.33 cubic units
8. A pyramid has a base perimeter of 12 units, a base area of 16 square units, and a slant height of 8 units. Calculate the surface area.
Answer: Surface Area = 16 square units + (1/2) x 12 units x 8 units = 64 square units + 48 square units = 112 square units