Find the Surface Area box (4)(6)(6)

 $\begin{array}{r} h = & 4 \\ l = & 6 \\ w = & 6 \end{array}$

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 $l = 6$ , the width $w = 6$ , and the height $h = 4$ into the formula.

$2 \cdot 6 \cdot 6 + 2 \cdot 6 \cdot 4 + 2 \cdot 6 \cdot 4$

Step 3

Simplify each term.

Multiply $2 \cdot 6 \cdot 6$ .

Multiply $2$ by $6$ .

$12 \cdot 6 + 2 \cdot 6 \cdot 4 + 2 \cdot 6 \cdot 4$

Multiply $12$ by $6$ .

$72 + 2 \cdot 6 \cdot 4 + 2 \cdot 6 \cdot 4$

Multiply $2 \cdot 6 \cdot 4$ .

Multiply $2$ by $6$ .

$72 + 12 \cdot 4 + 2 \cdot 6 \cdot 4$

Multiply $12$ by $4$ .

$72 + 48 + 2 \cdot 6 \cdot 4$

Multiply $2 \cdot 6 \cdot 4$ .

Multiply $2$ by $6$ .

$72 + 48 + 12 \cdot 4$

Multiply $12$ by $4$ .

$72 + 48 + 48$

Step 4

Simplify by adding numbers.

Add $72$ and $48$ .

$120 + 48$

Add $120$ and $48$ .

$168$