Chuck is covering a box that he made for his car speakers in carpet. if the box is 16 inches long, 10 inches wide, and 8 inches tall, what is the surface area of the box to be covered?
a. 416 square inches
b. 543 square inches
c. 656 square inches
d. 736 square inches

The surface area = 736 square inches

Step-by-step explanation:

A box is in the form of a cuboid which has 6 faces of which opposite faces has equal surface area.

a. Since the top surface equals bottom surface, their surface area = 2 (l × w)

But, l = 16 inches, w = 10 inches

                 = 2 ( 16 × 10)

                 = 2  × 160

   ∴ their surface area = 320 square inches

b. The two sides would have equal surface areas, so that their surface areas = 2 (w × h)

But, w = 10 inches, h = 8 inches.

Their surface areas = 2 (10 × 8)

                                = 2 × 80

                                = 160 square inches

c. The front and back portions would have equal surface areas, so that their surface areas = 2 (l  × h)

But, l = 16 inches , h = 8 inches

Their surface areas = 2 (16 × 8)

                                = 2 × 128

                               = 256 square inches

Thus the surface area of the box = 320 + 160 + 256

                                                       = 736 square inches

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