Find the Surface Area box (50)(50)(50)



$\begin{array}{r} h = & 50 \\ l = & 50 \\ w = & 50 \end{array}$

Step 1

The surface area of a box is equal to the sum of the areas of each side of the box.

$2 \cdot (l e n g t h) \cdot (w i d t h) + 2 \cdot (l e n g t h) \cdot (h e i g h t) + 2 \cdot (w i d t h) \cdot (h e i g h t)$

Step 2

Substitute the values of the length

$l = 50$ , the width

$w = 50$ , and the height

$h = 50$ into the formula.

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

Step 3

Simplify each term.

Multiply

$2 \cdot 50 \cdot 50$ .

Multiply

$2$ by

$50$ .

$100 \cdot 50 + 2 \cdot 50 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply

$100$ by

$50$ .

$5000 + 2 \cdot 50 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply

$2 \cdot 50 \cdot 50$ .

Multiply

$2$ by

$50$ .

$5000 + 100 \cdot 50 + 2 \cdot 50 \cdot 50$

Multiply

$100$ by

$50$ .

$5000 + 5000 + 2 \cdot 50 \cdot 50$

Multiply

$2 \cdot 50 \cdot 50$ .

Multiply

$2$ by

$50$ .

$5000 + 5000 + 100 \cdot 50$

Multiply

$100$ by

$50$ .

$5000 + 5000 + 5000$

Step 4

Simplify by adding numbers.

Add

$5000$ and

$5000$ .

$10000 + 5000$

Add

$10000$ and

$5000$ .

$15000$

Find the Surface Area box (50)(50)(50)

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