Geometry and TrigonometryEasy–MediumVolume of a prism from a triangular cross-section
Geometry and Trigonometry practice question
A wedge-shaped doorstop has a right-triangular cross-section with legs of 4 cm and 5 cm, and it is 7 cm long. What is its volume, in cubic centimetres?
Answer: 70
Cross-section area: (1/2)(4)(5) = 10 cm². Volume: 10 × 7 = 70.
Common wrong answers
- If you answered 16
- 16 adds the three dimensions.
- If you answered 35
- 35 halves the correct volume, applying the 1/2 twice.
- If you answered 140
- 140 omits the 1/2 in the triangle's area.
More Geometry and Trigonometry questions
- Easy–Medium
A circle has a radius of 6. What is its area? (Use A = πr².) - Easy–Medium
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse? - Easy–Medium
A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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