Basic Math Examples

 $\begin{array}{r} h = & 3 \\ l = & 2 \\ w = & 5 \end{array}$

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 $(l = 2)$ , the width $(w = 5)$ , and the height $(h = 3)$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 2 \cdot 5 \cdot 3$

Combine $\frac{1}{3}$ and $2$ .

$\frac{2}{3} \cdot 5 \cdot 3$

Multiply $\frac{2}{3} \cdot 5$ .

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Combine $\frac{2}{3}$ and $5$ .

$\frac{2 \cdot 5}{3} \cdot 3$

Multiply $2$ by $5$ .

$\frac{10}{3} \cdot 3$

Cancel the common factor of $3$ .

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Write $3$ as a fraction with denominator $1$ .

$\frac{10}{3} \cdot \frac{3}{1}$

Factor out the greatest common factor $3$ .

$\frac{10}{3 \cdot 1} \cdot \frac{3 \cdot 1}{1}$

Cancel the common factor.

$\frac{10}{3 \cdot 1} \cdot \frac{3 \cdot 1}{1}$

Rewrite the expression.

$\frac{10}{1} \cdot \frac{1}{1}$

Simplify.

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Multiply $\frac{10}{1}$ and $\frac{1}{1}$ .

$\frac{10}{1}$

Divide $10$ by $1$ .

$10$

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