Basic Math Examples

 $\begin{array}{r} h = & 20 \\ l = & 5 \\ w = & 15 \end{array}$

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 $l = 5$ , the width $w = 15$ , and the height $h = 20$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 5 \cdot 15 \cdot 20$

Step 3

Combine $\frac{1}{3}$ and $5$ .

$\frac{5}{3} \cdot 15 \cdot 20$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $15$ .

$\frac{5}{3} \cdot (3 (5)) \cdot 20$

Step 4.2

Cancel the common factor.

$\frac{5}{3} \cdot (3 \cdot 5) \cdot 20$

Step 4.3

Rewrite the expression.

$5 \cdot 5 \cdot 20$

Step 5

Multiply.

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Step 5.1

Multiply $5$ by $5$ .

$25 \cdot 20$

Step 5.2

Multiply $25$ by $20$ .

$500$