Find the Surface Area box (10)(10)(10)

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

Step 1

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

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

Step 2

Substitute the values of the length $l = 10$ , the width $w = 10$ , and the height $h = 10$ into the formula.

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

Step 3

Simplify each term.

Multiply $2 \cdot 10 \cdot 10$ .

Multiply $2$ by $10$ .

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

Multiply $20$ by $10$ .

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

Multiply $2 \cdot 10 \cdot 10$ .

Multiply $2$ by $10$ .

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

Multiply $20$ by $10$ .

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

Multiply $2 \cdot 10 \cdot 10$ .

Multiply $2$ by $10$ .

$200 + 200 + 20 \cdot 10$

Multiply $20$ by $10$ .

$200 + 200 + 200$

Step 4

Simplify by adding numbers.

Add $200$ and $200$ .

$400 + 200$

Add $400$ and $200$ .

$600$