Question

Chuck is covering a box that he made for his car speakers in carpet. If the box is 14 inches long, 8 inches wide, and 12 inches tall, what is the surface area of the box to be covered?

Answer 1

Top and Bottom = 2 (14 x 8)

TB = 2 (112)

TB = 224

Sides 1 and 3 = 2 (8 x 12)

S13 = 2 (96)

S13 = 192

Sides 2 and 4 = 2 (14 x 12)

S24 = 2 (168)

S24 = 336

224 + 192 + 336 = X

X = 752

Answer 2

Surface area of the box is 752 inches²

Explanation:

Chuck is covering a box that he made for his car speakers in carpet.

Dimensions of the box are Length = 14 inches, Width = 8 inches and Height = 12 inches.

Now we have to calculate the surface area of the box to be covered.

Since formula for surface area of a box is given by

S = 2(lw + hl + hw)

where l = length

w = width

h = height

Now we put the values in the formula

S = 2(14×8 + 14×12 + 8×12)

= 2(112 + 168 + 96)

= 2(376)

= 752 inches²

Therefore, surface area of the box is 752 inches²