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

Respuesta :

your answer will be D. 736

Answer:

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