Geometry and TrigonometryMediumVolume of a square pyramid
Geometry and Trigonometry practice question
A pyramid has a square base with sides of length 6 and a height of 5. What is its volume? (The volume of a pyramid is one-third of the base area times the height.)
Answer: 60
Base area: 6² = 36. Volume: (1/3)(36)(5) = 60.
Common wrong answers
- If you answered 10
- 10 is (1/3)(6)(5), using the side length instead of the base area.
- If you answered 30
- 30 halves the prism's volume; a pyramid is one-third, not one-half.
- If you answered 180
- 180 is 36 × 5, the volume of a PRISM with the same base and height; a pyramid is a third of that.
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