Basic Math Examples

 $\begin{array}{r} h = & 2 \\ l = & 9 \\ w = & 7 \end{array}$

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

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

Substitute the values of the length $(l = 9)$ , the width $(w = 7)$ , and the height $(h = 2)$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 9 \cdot 7 \cdot 2$

Cancel the common factor of $3$ .

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Write $9$ as a fraction with denominator $1$ .

$\frac{1}{3} \cdot \frac{9}{1} \cdot 7 \cdot 2$

Factor out the greatest common factor $3$ .

$\frac{1}{3 \cdot 1} \cdot \frac{3 \cdot 3}{1} \cdot 7 \cdot 2$

Cancel the common factor.

$\frac{1}{3 \cdot 1} \cdot \frac{3 \cdot 3}{1} \cdot 7 \cdot 2$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{3}{1} \cdot 7 \cdot 2$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{3}{1}$ to get $\frac{3}{1}$ .

$\frac{3}{1} \cdot 7 \cdot 2$

Divide $3$ by $1$ to get $3$ .

$3 \cdot 7 \cdot 2$

Multiply $3$ by $7$ to get $21$ .

$21 \cdot 2$

Multiply $21$ by $2$ to get $42$ .

$42$

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