Pre-Algebra Examples

 $\begin{array}{r} h = & 755 \\ l = & 500 \\ w = & 626.5 \end{array}$

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 $l = 500$ , the width $w = 626.5$ , and the height $h = 755$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 500 \cdot 626.5 \cdot 755$

Step 3

Combine $\frac{1}{3}$ and $500$ .

$\frac{500}{3} \cdot 626.5 \cdot 755$

Step 4

Multiply $\frac{500}{3} \cdot 626.5$ .

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Step 4.1

Combine $\frac{500}{3}$ and $626.5$ .

$\frac{500 \cdot 626.5}{3} \cdot 755$

Step 4.2

Multiply $500$ by $626.5$ .

$\frac{313250}{3} \cdot 755$

Step 5

Cancel the common factor of $313250$ and $3$ .

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Step 5.1

Rewrite $313250$ as $1 (313250)$ .

$\frac{1 (313250)}{3} \cdot 755$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite $3$ as $1 (3)$ .

$\frac{1 \cdot 313250}{1 \cdot 3} \cdot 755$

Step 5.2.2

Cancel the common factor.

$\frac{1 \cdot 313250}{1 \cdot 3} \cdot 755$

Step 5.2.3

Rewrite the expression.

$\frac{313250}{3} \cdot 755$

Step 6

Multiply $\frac{313250}{3} \cdot 755$ .

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Step 6.1

Combine $\frac{313250}{3}$ and $755$ .

$\frac{313250 \cdot 755}{3}$

Step 6.2

Multiply $313250$ by $755$ .

$\frac{236503750}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{236503750}{3}$

Decimal Form:

$78834583.3333333$

Mixed Number Form:

$78834583 \frac{1}{3}$