Question

Alice is building a caterpillar habitat for some caterpillars

she found in her back yard. She plans to cover all sides of
the habitat with screen so the caterpillars get plenty of
fresh air.
2 ft
1 ft
3 ft
What is the total amount of screen that Alice will need
for her habitat?

Answer 1

The total amount of screen needed is 22 ft^2

Explanation:

see the attached figure to better understand the problem

we know that

The surface area of a rectangular prism is equal to

`SA=2B+Ph`

where

B is the area of the base

P is the perimeter of the base

h is the height of the rectangular prism

Find the area of the base B

`B=(3)(1)=3\ ft^2`

Find the perimeter of the base P

`P=2(3+1)=8\ ft`

The height of the prism h is

`h=2\ ft`

substitute the values

`SA=2(3)+(8)(2)`

`SA=22\ ft^2`

The total amount of screen needed is 22 ft^2