Question

the formula for the volume of a pyramid is v = 1/3 bh, where b is the area of the base of the pyramid and h is the height of the pyramid. what is the volume of this pyramid in cubic inches?

Explanation:

Step1: Calculate the base - area $B$

The base is a right - triangle with base $b = 6$ in and height $h_1=5$ in. The area of a triangle is $B=\frac{1}{2}bh_1$. So, $B = \frac{1}{2}\times6\times5=15$ square inches.

Step2: Calculate the volume $V$

The height of the pyramid $h = 8$ in. Using the volume formula $V=\frac{1}{3}Bh$, substitute $B = 15$ and $h = 8$. Then $V=\frac{1}{3}\times15\times8$. First, $\frac{1}{3}\times15 = 5$, and $5\times8=40$ cubic inches.

Answer:

40 cubic inches