Basic Math Examples



\begin{matrix} h = & 20 l = & 20 w = & 20 \end{matrix}

$\begin{array}{r} h = & 20 \\ l = & 20 \\ w = & 20 \end{array}$

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 = 20

$l = 20$ , the width

w = 20

$w = 20$ , and the height

h = 20

$h = 20$ into the formula.

2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20

$2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20$

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 20 \cdot 20

$2 \cdot 20 \cdot 20$ .

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Step 3.1.1

Multiply

2

$2$ by

20

$20$ .

40 \cdot 20 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20

$40 \cdot 20 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20$

Step 3.1.2

Multiply

40

$40$ by

20

$20$ .

800 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20

$800 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20$

800 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20

$800 + 2 \cdot 20 \cdot 20 + 2 \cdot 20 \cdot 20$

Step 3.2

Multiply

2 \cdot 20 \cdot 20

$2 \cdot 20 \cdot 20$ .

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Step 3.2.1

Multiply

2

$2$ by

20

$20$ .

800 + 40 \cdot 20 + 2 \cdot 20 \cdot 20

$800 + 40 \cdot 20 + 2 \cdot 20 \cdot 20$

Step 3.2.2

Multiply

40

$40$ by

20

$20$ .

800 + 800 + 2 \cdot 20 \cdot 20

$800 + 800 + 2 \cdot 20 \cdot 20$

800 + 800 + 2 \cdot 20 \cdot 20

$800 + 800 + 2 \cdot 20 \cdot 20$

Step 3.3

Multiply

2 \cdot 20 \cdot 20

$2 \cdot 20 \cdot 20$ .

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Step 3.3.1

Multiply

2

$2$ by

20

$20$ .

800 + 800 + 40 \cdot 20

$800 + 800 + 40 \cdot 20$

Step 3.3.2

Multiply

40

$40$ by

20

$20$ .

800 + 800 + 800

$800 + 800 + 800$

800 + 800 + 800

$800 + 800 + 800$

800 + 800 + 800

$800 + 800 + 800$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

800

$800$ and

800

$800$ .

1600 + 800

$1600 + 800$

Step 4.2

Add

1600

$1600$ and

800

$800$ .

2400

$2400$

2400

$2400$