ACT Math · Area and volume
A storage container is shaped like a rectangular prism measuring 6 by 4 by 5, topped with a pyramid of the same base and a height of 3.…
A storage container is shaped like a rectangular prism measuring 6 by 4 by 5, topped with a pyramid of the same base and a height of 3. What is the total volume of the container?
Answer and explanation
Answer: J: 144
The container is a prism with a pyramid on top. The prism has volume . The pyramid has the same base, , and height , so its volume is . The total is , choice J. Choice F () leaves out the pyramid. Choice G () uses for the pyramid, forgetting the factor . Choice H () uses for the pyramid. A pyramid holds exactly one third of the prism with the same base and height.
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