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

Answer:

The total amount of screen needed is 22 ft^2

Step-by-step 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