Jason is covering an ottoman with fabric. the ottoman is in the shape of a rectangular prism that is 37 cm long, 21 wide, and 30 cm high. how much fabric is needed to cover the sides and top of the ottoman? explain your strategy.

4,257 m²

Step-by-step explanation:

step 1

Find the lateral area of the rectangular prism (ottoman)

The lateral area is

LA=PH

where

P is the perimeter of the base

H is the height of the prism

Find the perimeter of the base P

P=2(37+21)=116 cm

we have H=30 cm

Find the lateral area

LA=116(30)=3,480 m²

step 2

Find the area of the top of the ottoman

B=37*21=777 m²

step 3

we know that

The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top

3,480+777=4,257 m²