Question

What is the volume of the following prism?this is a prism with a triangular base. The width of the triangle is 6 meters and the height of the triangle is 3 meters. The height of the prism is 7 meters.A. 63 m³B. 189 m³C. 42 m³D. 126 m³

Answer 1

A. 63 m³

Step-by-step explanation:

The volume of the prism is equal to

V = Bh

Where B is the area of the base and h is the height of the prism.

In this case, the base is triangular, so the area of the base is equal to

`\begin{gathered} B=(base\cdot height)/(2) \\ \\ B=\frac{6\text{ m}\cdot3m}{2} \\ \\ B=\frac{18\text{ m}^2}{2} \\ \\ B=9\text{ m}^2 \end{gathered}`

Then, the volume of the prism is equal to

V = (9 m²)(7 m)

V = 63 m³

Therefore, the answer is

A. 63 m³