Basic Math Examples



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

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

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)

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

Step 2

Substitute the values of the length

l = 8

$l = 8$ , the width

w = 8

$w = 8$ , and the height

h = 8

$h = 8$ into the formula.

2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8

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

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 8 \cdot 8

$2 \cdot 8 \cdot 8$ .

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Step 3.1.1

Multiply

2

$2$ by

8

$8$ .

16 \cdot 8 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8

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

Step 3.1.2

Multiply

16

$16$ by

8

$8$ .

128 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8

$128 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8$

128 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8

$128 + 2 \cdot 8 \cdot 8 + 2 \cdot 8 \cdot 8$

Step 3.2

Multiply

2 \cdot 8 \cdot 8

$2 \cdot 8 \cdot 8$ .

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Step 3.2.1

Multiply

2

$2$ by

8

$8$ .

128 + 16 \cdot 8 + 2 \cdot 8 \cdot 8

$128 + 16 \cdot 8 + 2 \cdot 8 \cdot 8$

Step 3.2.2

Multiply

16

$16$ by

8

$8$ .

128 + 128 + 2 \cdot 8 \cdot 8

$128 + 128 + 2 \cdot 8 \cdot 8$

128 + 128 + 2 \cdot 8 \cdot 8

$128 + 128 + 2 \cdot 8 \cdot 8$

Step 3.3

Multiply

2 \cdot 8 \cdot 8

$2 \cdot 8 \cdot 8$ .

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Step 3.3.1

Multiply

2

$2$ by

8

$8$ .

128 + 128 + 16 \cdot 8

$128 + 128 + 16 \cdot 8$

Step 3.3.2

Multiply

16

$16$ by

8

$8$ .

128 + 128 + 128

$128 + 128 + 128$

128 + 128 + 128

$128 + 128 + 128$

128 + 128 + 128

$128 + 128 + 128$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

128

$128$ and

128

$128$ .

256 + 128

$256 + 128$

Step 4.2

Add

256

$256$ and

128

$128$ .

384

$384$

384

$384$