Pre-Algebra Examples

 $\begin{array}{r} h = & 21 \\ l = & 31 \\ w = & h \end{array}$

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 $l = 31$ , the width $w = h$ , and the height $h = 21$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 31 \cdot h \cdot 21$

Step 3

Combine $\frac{1}{3}$ and $31$ .

$\frac{31}{3} \cdot h \cdot 21$

Step 4

Combine $\frac{31}{3}$ and $h$ .

$\frac{31 h}{3} \cdot 21$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $21$ .

$\frac{31 h}{3} \cdot (3 (7))$

Step 5.2

Cancel the common factor.

$\frac{31 h}{3} \cdot (3 \cdot 7)$

Step 5.3

Rewrite the expression.

$31 h \cdot 7$

Step 6

Multiply $7$ by $31$ .

$217 h$