Find the Volume pyramid (12)(12)(8)

 $\begin{array}{r} h = & 12 \\ l = & 8 \\ w = & 12 \end{array}$

Step 1

The volume of a pyramid is equal to $\frac{1}{3} \cdot (l e n g t h) \cdot (w i d t h) \cdot (h e i g h t)$ .

$\frac{1}{3} \cdot (l e n g t h) \cdot (w i d t h) \cdot (h e i g h t)$

Step 2

Substitute the values of the length $l = 8$ , the width $w = 12$ , and the height $h = 12$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 8 \cdot 12 \cdot 12$

Step 3

Combine $\frac{1}{3}$ and $8$ .

$\frac{8}{3} \cdot 12 \cdot 12$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$\frac{8}{3} \cdot (3 (4)) \cdot 12$

Cancel the common factor.

$\frac{8}{3} \cdot (3 \cdot 4) \cdot 12$

Rewrite the expression.

$8 \cdot 4 \cdot 12$

Step 5

Multiply.

Multiply $8$ by $4$ .

$32 \cdot 12$

Multiply $32$ by $12$ .

$384$