16Hit1600
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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