Question 8 of 8 - Volume of Prisms
Question 8
A triangular prism has a width of 9 meters and volume of 378 cubic meters. What is the area of the base of the prism?

Ask by Boyd Estrada. in the United States

Mar 21,2025

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Question 8 of 8 - Volume of Prisms Question 8 A triangular prism has a width of 9 meters and volume of 378 cubic meters. What is the area of the base of the prism? $$ \square \mathrm{m}^{2} $$

UpStudy AI · Accepted Answer

Let the area of the base be $$ A $$. The volume $$ V $$ of a prism is given by
$$
V = A \times \text{width}
$$
Given that $$ V = 378 $$ cubic meters and the width is $$ 9 $$ meters, we substitute:
$$
378 = A \times 9
$$
Solving for $$ A $$, we divide both sides by $$ 9 $$:
$$
A = \frac{378}{9} = 42
$$
Thus, the area of the base is $$ \boxed{42 \, \text{m}^2} $$.
The area of the base is 42 square meters.

Question 8 of 8 - Volume of Prisms
Question 8
A triangular prism has a width of 9 meters and volume of 378 cubic meters. What is the area of the base of the prism?

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