Basic Math Examples

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\begin{array}{r} h = & 3 \\ l = & 4 \\ w = & 2 \end{array}

$\begin{array}{r} h = & 3 \\ l = & 4 \\ w = & 2 \end{array}$

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 = 4

$l = 4$ , the width

w = 2

$w = 2$ , and the height

h = 3

$h = 3$ into the formula to find the volume of the pyramid.

\frac{1}{3} \cdot 4 \cdot 2 \cdot 3

$\frac{1}{3} \cdot 4 \cdot 2 \cdot 3$

Step 3

Combine

\frac{1}{3}

$\frac{1}{3}$ and

4

$4$ .

\frac{4}{3} \cdot 2 \cdot 3

$\frac{4}{3} \cdot 2 \cdot 3$

Step 4

Multiply

\frac{4}{3} \cdot 2

$\frac{4}{3} \cdot 2$ .

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Step 4.1

Combine

\frac{4}{3}

$\frac{4}{3}$ and

2

$2$ .

\frac{4 \cdot 2}{3} \cdot 3

$\frac{4 \cdot 2}{3} \cdot 3$

Step 4.2

Multiply

4

$4$ by

2

$2$ .

\frac{8}{3} \cdot 3

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

\frac{8}{3} \cdot 3

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

Step 5

Cancel the common factor of

3

$3$ .

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Step 5.1

Cancel the common factor.

\frac{8}{3} \cdot 3

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

Step 5.2

Rewrite the expression.

8

$8$

8

$8$

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