Geometry and TrigonometryMediumVolume of a triangular prism
Geometry and Trigonometry practice question
A prism has a base that is a right triangle with legs of length 3 and 4, and the prism has a length of 10. What is its volume?
Answer: 60
Base area: (1/2)(3)(4) = 6. Volume = base area × length = 6 × 10 = 60.
Common wrong answers
- If you answered 17
- 17 is 3 + 4 + 10, adding the dimensions.
- If you answered 50
- 50 is 5 × 10, using the hypotenuse as if it were the base area.
- If you answered 120
- 120 is 3 × 4 × 10, using a rectangle for the base instead of a triangle (half of that).
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