Pre-Algebra Examples

 $\begin{array}{r} h = & 8 yd \\ l = & 11 yd \\ w = & 11 yd \end{array}$

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 $l = 11$ , the width $w = 11$ , and the height $h = 8$ into the formula to find the volume of the pyramid.

$\frac{1}{3} \cdot 11 \cdot 11 \cdot 8$

Step 3

Combine $\frac{1}{3}$ and $11$ .

$\frac{11}{3} \cdot 11 \cdot 8$

Step 4

Multiply $\frac{11}{3} \cdot 11$ .

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Step 4.1

Combine $\frac{11}{3}$ and $11$ .

$\frac{11 \cdot 11}{3} \cdot 8$

Step 4.2

Multiply $11$ by $11$ .

$\frac{121}{3} \cdot 8$

Step 5

Multiply $\frac{121}{3} \cdot 8$ .

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Step 5.1

Combine $\frac{121}{3}$ and $8$ .

$\frac{121 \cdot 8}{3}$

Step 5.2

Multiply $121$ by $8$ .

$\frac{968}{3}$

$\frac{968}{3} {(yd)}^{3}$