Pre-Algebra Examples

 $\begin{array}{r} h = & 118 m \\ l = & 46 m \\ w = & 75 m \end{array}$

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 $l = 46$ , the width $w = 75$ , and the height $h = 118$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 46 \cdot 75 \cdot 118$

Step 3

Combine $\frac{1}{3}$ and $46$ .

$\frac{46}{3} \cdot 75 \cdot 118$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $75$ .

$\frac{46}{3} \cdot (3 (25)) \cdot 118$

Step 4.2

Cancel the common factor.

$\frac{46}{3} \cdot (3 \cdot 25) \cdot 118$

Step 4.3

Rewrite the expression.

$46 \cdot 25 \cdot 118$

Step 5

Multiply.

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Step 5.1

Multiply $46$ by $25$ .

$1150 \cdot 118$

Step 5.2

Multiply $1150$ by $118$ .

$135700$

$135700 m^{3}$