Basic Math Examples

 $\begin{array}{r} h = & 18 \\ l = & 14 \\ w = & 2 \end{array}$

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 $(l = 14)$ , the width $(w = 2)$ , and the height $(h = 18)$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 14 \cdot 2 \cdot 18$

Combine $\frac{1}{3}$ and $14$ .

$\frac{14}{3} \cdot 2 \cdot 18$

Multiply $\frac{14}{3} \cdot 2$ .

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Combine $\frac{14}{3}$ and $2$ .

$\frac{14 \cdot 2}{3} \cdot 18$

Multiply $14$ by $2$ .

$\frac{28}{3} \cdot 18$

Cancel the common factor of $3$ .

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Write $18$ as a fraction with denominator $1$ .

$\frac{28}{3} \cdot \frac{18}{1}$

Factor out the greatest common factor $3$ .

$\frac{28}{3 \cdot 1} \cdot \frac{3 \cdot 6}{1}$

Cancel the common factor.

$\frac{28}{3 \cdot 1} \cdot \frac{3 \cdot 6}{1}$

Rewrite the expression.

$\frac{28}{1} \cdot \frac{6}{1}$

Simplify.

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Multiply $\frac{28}{1}$ and $\frac{6}{1}$ .

$\frac{28 \cdot 6}{1}$

Multiply $28$ by $6$ .

$\frac{168}{1}$

Divide $168$ by $1$ .

$168$

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