A cereal company is creating new boxes for its product. In order to display the boxes, the stores they sell to require that the boxes

be 10.3 inches high and no longer than 8.2 inches.

The printing department requires exactly 228.12 square inches of space in order to use the planned design that covers the box. If

the company wishes to maximize the length of the box, then what should be the width of the box?

A.

0.8 inches

B.

10.3 inches

C.

1.6 inches

D.

8.2 inches

Question

Mathematics

Sariah Burnett

2 September, 15:14

A cereal company is creating new boxes for its product. In order to display the boxes, the stores they sell to require that the boxes

be 10.3 inches high and no longer than 8.2 inches.

The printing department requires exactly 228.12 square inches of space in order to use the planned design that covers the box. If

the company wishes to maximize the length of the box, then what should be the width of the box?

A.

0.8 inches

B.

10.3 inches

C.

1.6 inches

D.

8.2 inches

+4

Answers (1)

Know the Answer?

Camden Cherry · Answer 1

C. 1.6 inches

Step-by-step explanation:

Width (W)

Surface area = 2wl + 2lh + 2hw

228.12 = 2 x (10.3 x W + 8.2 x W + 10.3 x 8.2)

228.12 = 2 x (18.5W + 84.46)

114.06 = 18.5W + 84.46

W = (114.06 - 84.46) / 18.5

W = 1.6 inches