Geometry and TrigonometryHardVolume of a triangular prism
Geometry and Trigonometry practice question
A right prism has a base that is a right triangle with legs of length 6 and 8, and the prism has a height of 10. What is the volume of the prism?
Answer: 240
Base area = (1/2)(6)(8) = 24, so volume = 24 × 10 = 240.
Common wrong answers
- If you answered 24
- 24 is the base area.
- If you answered 80
- 80 uses the triangle's perimeter of 24 in place of area and then divides oddly; the base area is 24.
- If you answered 480
- 480 forgets the 1/2 in the triangle's area.
More Geometry and Trigonometry questions
- Hard
In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg? - Hard
A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°? - Hard
A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle? - Hard
What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
Not affiliated with the College Board. SAT is a trademark of the College Board.