Basic Math Examples



\begin{matrix} h = & 5 l = & 5 w = & 5 \end{matrix}

$\begin{array}{r} h = & 5 \\ l = & 5 \\ w = & 5 \end{array}$

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 = 5

$l = 5$ , the width

w = 5

$w = 5$ , and the height

h = 5

$h = 5$ into the formula.

2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5

$2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5$

Step 3

Simplify each term.

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Step 3.1

Multiply

2 \cdot 5 \cdot 5

$2 \cdot 5 \cdot 5$ .

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Step 3.1.1

Multiply

2

$2$ by

5

$5$ .

10 \cdot 5 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5

$10 \cdot 5 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5$

Step 3.1.2

Multiply

10

$10$ by

5

$5$ .

50 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5

$50 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5$

50 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5

$50 + 2 \cdot 5 \cdot 5 + 2 \cdot 5 \cdot 5$

Step 3.2

Multiply

2 \cdot 5 \cdot 5

$2 \cdot 5 \cdot 5$ .

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Step 3.2.1

Multiply

2

$2$ by

5

$5$ .

50 + 10 \cdot 5 + 2 \cdot 5 \cdot 5

$50 + 10 \cdot 5 + 2 \cdot 5 \cdot 5$

Step 3.2.2

Multiply

10

$10$ by

5

$5$ .

50 + 50 + 2 \cdot 5 \cdot 5

$50 + 50 + 2 \cdot 5 \cdot 5$

50 + 50 + 2 \cdot 5 \cdot 5

$50 + 50 + 2 \cdot 5 \cdot 5$

Step 3.3

Multiply

2 \cdot 5 \cdot 5

$2 \cdot 5 \cdot 5$ .

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Step 3.3.1

Multiply

2

$2$ by

5

$5$ .

50 + 50 + 10 \cdot 5

$50 + 50 + 10 \cdot 5$

Step 3.3.2

Multiply

10

$10$ by

5

$5$ .

50 + 50 + 50

$50 + 50 + 50$

Step 4

Simplify by adding numbers.

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Step 4.1

Add

$50$ and

$50$ .

$100 + 50$

Step 4.2

Add

$100$ and

$50$ .

$150$