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

Answer:

3,800

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step 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

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

$SA=3,800\ cm^2$