Geometry and TrigonometryMediumVolume of a prism with a triangular base
Geometry and Trigonometry practice question
A tent is shaped like a triangular prism. Its triangular end has a base of 4 feet and a height of 3 feet, and the tent is 8 feet long. What is the volume of the tent, in cubic feet?
Answer: 48
Base area = (1/2)(4)(3) = 6 square feet. Volume = 6 × 8 = 48.
Common wrong answers
- If you answered 15
- 15 adds the three numbers.
- If you answered 24
- 24 halves the correct volume, applying the 1/2 twice.
- If you answered 96
- 96 omits the 1/2 in the triangle's area.
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