Basic Math Examples

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\begin{matrix} h = & 4 l = & 4 w = & 4 \end{matrix}

$\begin{array}{r} h = & 4 \\ l = & 4 \\ w = & 4 \end{array}$

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 = 4

$l = 4$ , the width

w = 4

$w = 4$ , and the height

h = 4

$h = 4$ into the formula.

2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4

$2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4$

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 4 \cdot 4

$2 \cdot 4 \cdot 4$ .

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Step 3.1.1

Multiply

2

$2$ by

4

$4$ .

8 \cdot 4 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4

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

Step 3.1.2

Multiply

8

$8$ by

4

$4$ .

32 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4

$32 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4$

32 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4

$32 + 2 \cdot 4 \cdot 4 + 2 \cdot 4 \cdot 4$

Step 3.2

Multiply

2 \cdot 4 \cdot 4

$2 \cdot 4 \cdot 4$ .

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Step 3.2.1

Multiply

2

$2$ by

4

$4$ .

32 + 8 \cdot 4 + 2 \cdot 4 \cdot 4

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

Step 3.2.2

Multiply

8

$8$ by

4

$4$ .

32 + 32 + 2 \cdot 4 \cdot 4

$32 + 32 + 2 \cdot 4 \cdot 4$

32 + 32 + 2 \cdot 4 \cdot 4

$32 + 32 + 2 \cdot 4 \cdot 4$

Step 3.3

Multiply

2 \cdot 4 \cdot 4

$2 \cdot 4 \cdot 4$ .

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Step 3.3.1

Multiply

2

$2$ by

4

$4$ .

32 + 32 + 8 \cdot 4

$32 + 32 + 8 \cdot 4$

Step 3.3.2

Multiply

8

$8$ by

4

$4$ .

32 + 32 + 32

$32 + 32 + 32$

32 + 32 + 32

$32 + 32 + 32$

32 + 32 + 32

$32 + 32 + 32$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

32

$32$ and

32

$32$ .

64 + 32

$64 + 32$

Step 4.2

Add

64

$64$ and

32

$32$ .

96

$96$

96

$96$

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