Question

find the volume of this triangular prism. be sure to include the correct unit in your answer. 9 yd 7 yd 5 yd

Explanation:

Step1: Calculate base - area of the triangular base

The base of the triangular prism is a triangle. The area formula for a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the triangle is $5$ yd and the height of the triangle is $9$ yd. So, $A = \frac{1}{2}\times5\times9=\frac{45}{2}$ square yards.

Step2: Calculate the volume of the prism

The volume formula for a prism is $V=A\times l$, where $A$ is the base - area and $l$ is the length of the prism. The length of the prism is $7$ yd. So, $V=\frac{45}{2}\times7=\frac{315}{2}=157.5$ cubic yards.

Answer:

$157.5$ yd³