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. A net is formed by 2 rectangles. 1 rectangle has a base of 4 feet and height of 3 feet. The other rectangle has a base of 5 feet and height of 2 feet. What is the least amount of fabric he will need to cover the cushion?

Answer 1

Answer:

The least amount of fabric are 22 square feet

Step-by-step explanation:

we know that

The surface area of a rectangular prism is given by the formula

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Let

L ---> the length pf the prism

W ---> the width of the prism

H ---> is the height of the prism

Let

$L=2\ ft\\W=3\ ft\\H=1\ ft$

Find the area of the base

$B=LW=(2)(3)=6\ ft^2$

Find the perimeter of the base

$P=2(L+W)=2(2+3)=10\ ft$

Find the surface area

$SA=2(6)+10(1)=22\ ft^2$

therefore

The least amount of fabric are 22 square feet

Answer 2

Answer:

Abdul will need 22ft of fabric to cover the cushion

Step-by-step explanation: