Answered

Shyla covered a box with fabric. the dimensions of the box are shown in the figure below. 7 inches, 11 inches, 8 inches. the fabric costs 7 cents per square inch. she will only pay for the fabric used to cover the box, even if there is waste or extra. how much money did shyla spend on the fabric? A.$15.47 B.$19.38 C.$23.10 D.$30.94

Verified Answer :

Tsukiyume

2(56+77+88)
= 442 sq. Inch
442 x 7c
= $30.94

Answer:

Option (D) is correct.

Shyla spend $30.94 on the fabrics

Step-by-step explanation:

Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.

Here Length (l) = 7 inches

Breadth (b) = 11 inches

Height (h) = 8 inches

Surface area of Cuboid = 2( lb +bh + hl )

Substitute the values, we get,

Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )

                                        = 2( 77 +88 +56)

                                        = 422 square inches.

Given: the fabric costs 7 cents per square inch = $0.07 per square inches.

Money  Shyla spend on the fabric = total area × cost of fabric per square inch

                                                       = 442 × 0.07

                                                       = $30.94

Thus,  Shyla spend $30.94 on the fabrics.

So , Option (D) is correct.

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