Pre-Algebra Examples



\begin{array}{r} h = & 7 \\ l = & 5 \\ w = & 3 \end{array}

$\begin{array}{r} h = & 7 \\ l = & 5 \\ w = & 3 \end{array}$

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)

$\frac{1}{3} \cdot (l e n g t h) \cdot (w i d t h) \cdot (h e i g h t)$ .

\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 = 5

$l = 5$ , the width

w = 3

$w = 3$ , and the height

h = 7

$h = 7$ into the formula to find the volume of the pyramid.

\frac{1}{3} \cdot 5 \cdot 3 \cdot 7

$\frac{1}{3} \cdot 5 \cdot 3 \cdot 7$

Step 3

Combine

\frac{1}{3}

$\frac{1}{3}$ and

5

$5$ .

\frac{5}{3} \cdot 3 \cdot 7

$\frac{5}{3} \cdot 3 \cdot 7$

Step 4

Cancel the common factor of

3

$3$ .

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Step 4.1

Cancel the common factor.

\frac{5}{3} \cdot 3 \cdot 7

$\frac{5}{3} \cdot 3 \cdot 7$

Step 4.2

Rewrite the expression.

5 \cdot 7

$5 \cdot 7$

5 \cdot 7

$5 \cdot 7$

Step 5

Multiply

5

$5$ by

7

$7$ .

35

$35$

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