Pre-Algebra Examples

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

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

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

Step 3

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

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

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $9$ .

$\frac{B}{3} \cdot (3 (3)) \cdot 7$

Step 4.2

Cancel the common factor.

$\frac{B}{3} \cdot (3 \cdot 3) \cdot 7$

Step 4.3

Rewrite the expression.

$B \cdot 3 \cdot 7$

Step 5

Simplify the expression.

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Step 5.1

Move $3$ to the left of $B$ .

$3 \cdot B \cdot 7$

Step 5.2

Multiply $7$ by $3$ .

$21 B$