Question

Abdul is creating a cushion that is 1 foot by 2 feet by 3 feet. He wants to find the least amount of fabric he will need to cover the cushion. He starts by drawing the net shown here.



What is the least amount of fabric he will need to cover the cushion?

 ft2


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Answer 1

22ft

Explanation:

Answer 2

The least amount of fabric needed to cover the cushion is 22 square feet.

Explanation:

The dimensions of the cushion is

1 x 2 x 3

Let us consider,

L = 1

B = 2

W = 3

The fabric covers the outer surface of the cushion. So we need to find the surface area of the cushion.

The surface area is calculated by

Surface area = the area of 6 sides of the cushion

Surface area= 2( lb + bw + wl)

= 2{( 1x2)+ (2 x 3) +( 3 x 1) }

= 2{(2)+ (6)+ (3) }

= 2{11}

= 22 square feet

The least amount of fabric needed to cover the cushion is 22 square feet.