Question

Jordan built her cat Tuna a new scratching post. She needs to cover the post with carpet. How much carpet does Jordan need to cover the surface of the post, including the bottom?

Answer 1

3,800

Explanation:

Answer 2

Jordan needs
`3,800\ cm^2` of carpet to cover the surface area of the post

Explanation:

see the attached figure to better understand the problem

we know that

The surface area of a prism is equal to

`SA=2B+Ph`

where

B is the area of the base of the prism

P is the perimeter of the base of the prism

h is the height of the prism

Find the area of the base B

`B=10^2=100\ cm^2`

Find the perimeter of the base P

`P=4(10)=40\ cm`

we have the height h

`h=90\ cm`

substitute the values

`SA=2(100)+40(90)`

`SA=3,800\ cm^2`