Question

A couch cushion needs to be covered with fabric. The dimensions of the cushion are 1.5 feet long by 1.5 feet wide by 0.5 foot high. What is the least amount of fabric that will be needed to cover the couch cushion?

Answer 1

`7.5ft^2`

Explanation:

Length of cushion=l=1.5 feet

Width of cushion=b=1.5 feet

Height of cushion=h=0.5 feet

We have to find the least amount of fabric that will be needed to cover the couch cushion.

Surface area of cuboid=
`2(lb+bh+hl)`

Using the formula

Fabric needed to cover the couch cushion=
`2(1.5* 1.5+1.5* 0.5+1.5* 0.5) ft^2`

Fabric needed to cover the couch cushion=
`2(2.25+0.75+0.75)ft^2`

Fabric needed to cover the couch cushion=
`7.5ft^2`