Basic Math Examples



\begin{matrix} h = & 8 l = & 8 w = & 9 \end{matrix}

$\begin{array}{r} h = & 8 \\ l = & 8 \\ w = & 9 \end{array}$

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

$w = 9$ , and the height

$h = 8$ into the formula.

$2 \cdot 8 \cdot 9 + 2 \cdot 8 \cdot 8 + 2 \cdot 9 \cdot 8$

Step 3

Simplify each term.

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Step 3.1

Multiply

$2 \cdot 8 \cdot 9$ .

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Step 3.1.1

Multiply

$2$ by

$8$ .

$16 \cdot 9 + 2 \cdot 8 \cdot 8 + 2 \cdot 9 \cdot 8$

Step 3.1.2

Multiply

$16$ by

$9$ .

$144 + 2 \cdot 8 \cdot 8 + 2 \cdot 9 \cdot 8$

Step 3.2

Multiply

$2 \cdot 8 \cdot 8$ .

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Step 3.2.1

Multiply

$2$ by

$8$ .

$144 + 16 \cdot 8 + 2 \cdot 9 \cdot 8$

Step 3.2.2

Multiply

$16$ by

$8$ .

$144 + 128 + 2 \cdot 9 \cdot 8$

Step 3.3

Multiply

$2 \cdot 9 \cdot 8$ .

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Step 3.3.1

Multiply

$2$ by

$9$ .

$144 + 128 + 18 \cdot 8$

Step 3.3.2

Multiply

$18$ by

$8$ .

$144 + 128 + 144$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

$144$ and

$128$ .

$272 + 144$

Step 4.2

Add

$272$ and

$144$ .

$416$