Question

Find the lateral area and surface area of the solid. Use the 2.5 by 2.5 square as the base. Round to the nearest tenth if necessary.

I am unable to add a photo, the base is: 5.5ft, 5.5ft, and the height is 10ft.

Choices:
L = 220ft2 ; S = 302.5 ft2

L = 280.5 ft 2 ; S = 220ft2

L = 170.5 ft2 ; S = 280.5ft2

L = 220ft 2 ; S = 280.5 ft2

Answer 1

D. L = 220 ; S = 280.5

Explanation:

Answer 2

Part 1)
`LA=220\ ft^2`

Part 2)
`SA=280.5\ ft^2`

L = 220 ft2 ; S = 280.5 ft2

Explanation:

The correct question is

Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft

Part 1) Find the lateral area

The lateral area of a rectangular prism is equal to

`LA=Ph`

where

P is the perimeter of the base

h is the height of the prism

we have

`P=4(5.5)=22\ ft` ---> the perimeter of a square

`h=10\ ft` ---> is given

substitute

`LA=22(10)=220\ ft^2`

Part 2) Find the surface area

The surface area of a rectangular prism is equal to

`SA=2B+LA`

where

LA is the lateral area

B is the area of the base

we have

`LA=220\ ft^2`

`B=5.5^2=30.25\ ft^2` ----> area of a square

substitute

`SA=2(30.25)+220=280.5\ ft^2`