Basic Math Examples



\begin{matrix} h = & 1 l = & 1 w = & 1 \end{matrix}

$\begin{array}{r} h = & 1 \\ l = & 1 \\ w = & 1 \end{array}$

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 = 1

$l = 1$ , the width

w = 1

$w = 1$ , and the height

h = 1

$h = 1$ into the formula.

2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1

$2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1$

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 1 \cdot 1

$2 \cdot 1 \cdot 1$ .

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Step 3.1.1

Multiply

2

$2$ by

1

$1$ .

2 \cdot 1 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1

$2 \cdot 1 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1$

Step 3.1.2

Multiply

2

$2$ by

1

$1$ .

2 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1

$2 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1$

2 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1

$2 + 2 \cdot 1 \cdot 1 + 2 \cdot 1 \cdot 1$

Step 3.2

Multiply

2 \cdot 1 \cdot 1

$2 \cdot 1 \cdot 1$ .

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Step 3.2.1

Multiply

2

$2$ by

1

$1$ .

2 + 2 \cdot 1 + 2 \cdot 1 \cdot 1

$2 + 2 \cdot 1 + 2 \cdot 1 \cdot 1$

Step 3.2.2

Multiply

2

$2$ by

1

$1$ .

2 + 2 + 2 \cdot 1 \cdot 1

$2 + 2 + 2 \cdot 1 \cdot 1$

2 + 2 + 2 \cdot 1 \cdot 1

$2 + 2 + 2 \cdot 1 \cdot 1$

Step 3.3

Multiply

2 \cdot 1 \cdot 1

$2 \cdot 1 \cdot 1$ .

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Step 3.3.1

Multiply

2

$2$ by

1

$1$ .

2 + 2 + 2 \cdot 1

$2 + 2 + 2 \cdot 1$

Step 3.3.2

Multiply

2

$2$ by

1

$1$ .

2 + 2 + 2

$2 + 2 + 2$

2 + 2 + 2

$2 + 2 + 2$

2 + 2 + 2

$2 + 2 + 2$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

2

$2$ and

2

$2$ .

4 + 2

$4 + 2$

Step 4.2

Add

4

$4$ and

2

$2$ .

6

$6$

6

$6$