Basic Math Examples

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$\begin{array}{r} h = & 3 \\ l = & 2 \\ w = & 8 \end{array}$

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

$l = 2$ , the width

$w = 8$ , and the height

$h = 3$ into the formula.

$2 \cdot 2 \cdot 8 + 2 \cdot 2 \cdot 3 + 2 \cdot 8 \cdot 3$

Step 3

Simplify each term.

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Step 3.1

Multiply

$2 \cdot 2 \cdot 8$ .

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Step 3.1.1

Multiply

$2$ by

$2$ .

$4 \cdot 8 + 2 \cdot 2 \cdot 3 + 2 \cdot 8 \cdot 3$

Step 3.1.2

Multiply

$4$ by

$8$ .

$32 + 2 \cdot 2 \cdot 3 + 2 \cdot 8 \cdot 3$

Step 3.2

Multiply

$2 \cdot 2 \cdot 3$ .

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Step 3.2.1

Multiply

$2$ by

$2$ .

$32 + 4 \cdot 3 + 2 \cdot 8 \cdot 3$

Step 3.2.2

Multiply

$4$ by

$3$ .

$32 + 12 + 2 \cdot 8 \cdot 3$

Step 3.3

Multiply

$2 \cdot 8 \cdot 3$ .

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Step 3.3.1

Multiply

$2$ by

$8$ .

$32 + 12 + 16 \cdot 3$

Step 3.3.2

Multiply

$16$ by

$3$ .

$32 + 12 + 48$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

$32$ and

$12$ .

$44 + 48$

Step 4.2

Add

$44$ and

$48$ .

$92$