Basic Math Examples

 $\begin{array}{r} h = & 3 \\ l = & 7 \\ w = & 6 \end{array}$

Step 1

The surface area of a box is equal to the sum of the areas of each side of the box.

$2 \cdot (l e n g t h) \cdot (w i d t h) + 2 \cdot (l e n g t h) \cdot (h e i g h t) + 2 \cdot (w i d t h) \cdot (h e i g h t)$

Step 2

Substitute the values of the length $l = 7$ , the width $w = 6$ , and the height $h = 3$ into the formula.

$2 \cdot 7 \cdot 6 + 2 \cdot 7 \cdot 3 + 2 \cdot 6 \cdot 3$

Step 3

Simplify each term.

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Step 3.1

Multiply $2 \cdot 7 \cdot 6$ .

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Step 3.1.1

Multiply $2$ by $7$ .

$14 \cdot 6 + 2 \cdot 7 \cdot 3 + 2 \cdot 6 \cdot 3$

Step 3.1.2

Multiply $14$ by $6$ .

$84 + 2 \cdot 7 \cdot 3 + 2 \cdot 6 \cdot 3$

Step 3.2

Multiply $2 \cdot 7 \cdot 3$ .

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Step 3.2.1

Multiply $2$ by $7$ .

$84 + 14 \cdot 3 + 2 \cdot 6 \cdot 3$

Step 3.2.2

Multiply $14$ by $3$ .

$84 + 42 + 2 \cdot 6 \cdot 3$

Step 3.3

Multiply $2 \cdot 6 \cdot 3$ .

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Step 3.3.1

Multiply $2$ by $6$ .

$84 + 42 + 12 \cdot 3$

Step 3.3.2

Multiply $12$ by $3$ .

$84 + 42 + 36$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $84$ and $42$ .

$126 + 36$

Step 4.2

Add $126$ and $36$ .

$162$