Find the Surface Area box (12)(12)(12)



$\begin{array}{r} h = & 12 \\ l = & 12 \\ w = & 12 \end{array}$

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

$l = 12$ , the width

$w = 12$ , and the height

$h = 12$ into the formula.

$2 \cdot 12 \cdot 12 + 2 \cdot 12 \cdot 12 + 2 \cdot 12 \cdot 12$

Step 3

Simplify each term.

Multiply

$2 \cdot 12 \cdot 12$ .

Multiply

$2$ by

$12$ .

$24 \cdot 12 + 2 \cdot 12 \cdot 12 + 2 \cdot 12 \cdot 12$

Multiply

$24$ by

$12$ .

$288 + 2 \cdot 12 \cdot 12 + 2 \cdot 12 \cdot 12$

Multiply

$2 \cdot 12 \cdot 12$ .

Multiply

$2$ by

$12$ .

$288 + 24 \cdot 12 + 2 \cdot 12 \cdot 12$

Multiply

$24$ by

$12$ .

$288 + 288 + 2 \cdot 12 \cdot 12$

Multiply

$2 \cdot 12 \cdot 12$ .

Multiply

$2$ by

$12$ .

$288 + 288 + 24 \cdot 12$

Multiply

$24$ by

$12$ .

$288 + 288 + 288$

Step 4

Simplify by adding numbers.

Add

$288$ and

$288$ .

$576 + 288$

Add

$576$ and

$288$ .

$864$

Find the Surface Area box (12)(12)(12)

Related Questions