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Volume of prism
1) The diagram shows a prism whose cross-section is a right triangle. What is the volume of the prism?
12 in³
94 in³
84 in³
54 in³
1/10
Solution
Answer:
54 in³
Explanation:
To find the area of the cross-section, use the formula for the area of a triangle
A = ½bh
b = 3 and h = 4
Therefore A = ½ × 3 × 4 = 6
Area of cross-section = 6 in²
Now use the formula for the volume of a prism
Volume = Area × Length = 6 in² × 9 in = 54 in³
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