Question

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

Explanation:

Step1: Calculate base - area of triangle

The formula for the area of a triangle is $A=\frac{1}{2}bh$, where $b = 6$ yd and $h = 7$ yd. So $A=\frac{1}{2}\times6\times7= 21$ yd².

Step2: Calculate volume of prism

The formula for the volume of a prism is $V=Ah$, where $A$ is the base - area and $h$ is the height of the prism. Here, the height of the prism is $10$ yd. So $V = 21\times10=210$ yd³.

Answer:

210 yd³