Find the Volume pyramid (8)(6)(7)

 $\begin{array}{r} h = & 8 \\ l = & 7 \\ w = & 6 \end{array}$

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 $l = 7$ , the width $w = 6$ , and the height $h = 8$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 7 \cdot 6 \cdot 8$

Step 3

Combine $\frac{1}{3}$ and $7$ .

$\frac{7}{3} \cdot 6 \cdot 8$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{7}{3} \cdot (3 (2)) \cdot 8$

Cancel the common factor.

$\frac{7}{3} \cdot (3 \cdot 2) \cdot 8$

Rewrite the expression.

$7 \cdot 2 \cdot 8$

Step 5

Multiply.

Multiply $7$ by $2$ .

$14 \cdot 8$

Multiply $14$ by $8$ .

$112$