Basic Math Examples



\begin{matrix} h = & 2 l = & 2 w = & 2 \end{matrix}

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

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 = 2

$l = 2$ , the width

w = 2

$w = 2$ , and the height

h = 2

$h = 2$ into the formula.

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

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

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2$ .

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Step 3.1.1

Multiply

2

$2$ by

2

$2$ .

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

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

Step 3.1.2

Multiply

4

$4$ by

2

$2$ .

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

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

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

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

Step 3.2

Multiply

2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2$ .

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Step 3.2.1

Multiply

2

$2$ by

2

$2$ .

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

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

Step 3.2.2

Multiply

4

$4$ by

2

$2$ .

8 + 8 + 2 \cdot 2 \cdot 2

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

8 + 8 + 2 \cdot 2 \cdot 2

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

Step 3.3

Multiply

2 \cdot 2 \cdot 2

$2 \cdot 2 \cdot 2$ .

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Step 3.3.1

Multiply

2

$2$ by

2

$2$ .

8 + 8 + 4 \cdot 2

$8 + 8 + 4 \cdot 2$

Step 3.3.2

Multiply

4

$4$ by

2

$2$ .

8 + 8 + 8

$8 + 8 + 8$

8 + 8 + 8

$8 + 8 + 8$

8 + 8 + 8

$8 + 8 + 8$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

8

$8$ and

8

$8$ .

16 + 8

$16 + 8$

Step 4.2

Add

16

$16$ and

8

$8$ .

24

$24$

24

$24$