Find the volume of a prism whose base is a right triangle with legs 10 and 2 meters long and whose height is 7 meters.
A) $70 \mathrm {~m} ^ { 3 }$
B) $140 \mathrm {~m} ^ { 3 }$
C) $20 \mathrm {~m} ^ { 3 }$
D) $280 \mathrm {~m} ^ { 3 }$
E) $199 \mathrm {~m} ^ { 3 }$

Question

Quizplus · Accepted Answer

The volume of a prism is given by the formula $V = Bh$, where $B$ is the area of the base and $h$ is the height. The base of the prism is a right triangle with legs 10 and 2 meters long, so its area is $\frac{1}{2} \times 10 \times 2 = 10$ square meters. The height of the prism is 7 meters, so its volume is $V = 10 \times 7 = 70$ cubic meters.

Find the Volume of a Prism Whose Base Is a Right