Basic Math Examples

 $\begin{array}{r} h = & 15 \\ l = & 20 \\ w = & 12 \end{array}$

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 $l = 20$ , the width $w = 12$ , and the height $h = 15$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 20 \cdot 12 \cdot 15$

Step 3

Combine $\frac{1}{3}$ and $20$ .

$\frac{20}{3} \cdot 12 \cdot 15$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $12$ .

$\frac{20}{3} \cdot (3 (4)) \cdot 15$

Step 4.2

Cancel the common factor.

$\frac{20}{3} \cdot (3 \cdot 4) \cdot 15$

Step 4.3

Rewrite the expression.

$20 \cdot 4 \cdot 15$

Step 5

Multiply.

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Step 5.1

Multiply $20$ by $4$ .

$80 \cdot 15$

Step 5.2

Multiply $80$ by $15$ .

$1200$