Pre-Algebra Examples

 $\begin{array}{r} h = & 12 mi \\ l = & 8 mi \\ w = & 2 mi \end{array}$

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 $l = 8$ , the width $w = 2$ , and the height $h = 12$ into the formula.

$2 \cdot 8 \cdot 2 + 2 \cdot 8 \cdot 12 + 2 \cdot 2 \cdot 12$

Step 3

Simplify each term.

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Step 3.1

Multiply $2 \cdot 8 \cdot 2$ .

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Step 3.1.1

Multiply $2$ by $8$ .

$16 \cdot 2 + 2 \cdot 8 \cdot 12 + 2 \cdot 2 \cdot 12$

Step 3.1.2

Multiply $16$ by $2$ .

$32 + 2 \cdot 8 \cdot 12 + 2 \cdot 2 \cdot 12$

Step 3.2

Multiply $2 \cdot 8 \cdot 12$ .

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Step 3.2.1

Multiply $2$ by $8$ .

$32 + 16 \cdot 12 + 2 \cdot 2 \cdot 12$

Step 3.2.2

Multiply $16$ by $12$ .

$32 + 192 + 2 \cdot 2 \cdot 12$

Step 3.3

Multiply $2 \cdot 2 \cdot 12$ .

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Step 3.3.1

Multiply $2$ by $2$ .

$32 + 192 + 4 \cdot 12$

Step 3.3.2

Multiply $4$ by $12$ .

$32 + 192 + 48$

Step 4

Simplify by adding numbers.

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Step 4.1

Add $32$ and $192$ .

$224 + 48$

Step 4.2

Add $224$ and $48$ .

$272$

$272 {(mi)}^{2}$