Find the Volume pyramid (9)(7)(9)

 $\begin{array}{r} h = & 9 \\ l = & 9 \\ w = & 7 \end{array}$

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 $l = 9$ , the width $w = 7$ , and the height $h = 9$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 9 \cdot 7 \cdot 9$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{1}{3} \cdot (3 (3)) \cdot 7 \cdot 9$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 3) \cdot 7 \cdot 9$

Rewrite the expression.

$3 \cdot 7 \cdot 9$

Step 4

Multiply $3 \cdot 7 \cdot 9$ .

Multiply $3$ by $7$ .

$21 \cdot 9$

Multiply $21$ by $9$ .

$189$