Question

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

Explanation:

Step1: Find the area of the triangular base

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Here, the base of the triangle is $7$ yd and the height is $8$ yd. So, $A=\frac{1}{2} \times 7 \times 8$.
$\frac{1}{2} \times 7 \times 8 = 28$ square yards.

Step2: Find the volume of the triangular prism

The formula for the volume of a triangular prism is $V = A \times length$, where $A$ is the area of the triangular base and $length$ is the length of the prism. Here, the length of the prism is $8$ yd. So, $V = 28 \times 8$.
$28 \times 8 = 224$ cubic yards.

Answer:

$224\ \text{yd}^3$