Basic Math Examples



\begin{matrix} h = & 10 l = & 10 w = & 10 \end{matrix}

$\begin{array}{r} h = & 10 \\ l = & 10 \\ w = & 10 \end{array}$

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 = 10

$l = 10$ , the width

w = 10

$w = 10$ , and the height

h = 10

$h = 10$ into the formula.

2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10

$2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10$

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 10 \cdot 10

$2 \cdot 10 \cdot 10$ .

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Step 3.1.1

Multiply

2

$2$ by

10

$10$ .

20 \cdot 10 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10

$20 \cdot 10 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10$

Step 3.1.2

Multiply

20

$20$ by

10

$10$ .

200 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10

$200 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10$

200 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10

$200 + 2 \cdot 10 \cdot 10 + 2 \cdot 10 \cdot 10$

Step 3.2

Multiply

2 \cdot 10 \cdot 10

$2 \cdot 10 \cdot 10$ .

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Step 3.2.1

Multiply

2

$2$ by

10

$10$ .

200 + 20 \cdot 10 + 2 \cdot 10 \cdot 10

$200 + 20 \cdot 10 + 2 \cdot 10 \cdot 10$

Step 3.2.2

Multiply

20

$20$ by

10

$10$ .

200 + 200 + 2 \cdot 10 \cdot 10

$200 + 200 + 2 \cdot 10 \cdot 10$

200 + 200 + 2 \cdot 10 \cdot 10

$200 + 200 + 2 \cdot 10 \cdot 10$

Step 3.3

Multiply

2 \cdot 10 \cdot 10

$2 \cdot 10 \cdot 10$ .

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Step 3.3.1

Multiply

2

$2$ by

10

$10$ .

200 + 200 + 20 \cdot 10

$200 + 200 + 20 \cdot 10$

Step 3.3.2

Multiply

20

$20$ by

10

$10$ .

200 + 200 + 200

$200 + 200 + 200$

200 + 200 + 200

$200 + 200 + 200$

200 + 200 + 200

$200 + 200 + 200$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

200

$200$ and

200

$200$ .

400 + 200

$400 + 200$

Step 4.2

Add

400

$400$ and

200

$200$ .

600

$600$

600

$600$