Question

1. find the volume of the square pyramid below. v = \frac{1}{3}bh volume= in³

Explanation:

Step1: Identify base - area and height

Let's assume the side of the square base is $s$ and the height of the pyramid is $h$. From the problem, if we assume the side of the square base $s = 6$ inches and height $h=6$ inches. The base - area $B$ of a square is $B=s^{2}$. So, $B = 6\times6=36$ square inches.

Step2: Apply volume formula

The volume formula of a square - pyramid is $V=\frac{1}{3}Bh$. Substitute $B = 36$ square inches and $h = 6$ inches into the formula. $V=\frac{1}{3}\times36\times6$.

Step3: Calculate the volume

First, $\frac{1}{3}\times36 = 12$, then $12\times6=72$ cubic inches.

Answer:

$72$