Answer:
Part 1) [tex]LA=220\ ft^2[/tex]
Part 2) [tex]SA=280.5\ ft^2[/tex]
L = 220 ft2 ; S = 280.5 ft2
Step-by-step 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
[tex]LA=Ph[/tex]
where
P is the perimeter of the base
h is the height of the prism
we have
[tex]P=4(5.5)=22\ ft[/tex] ---> the perimeter of a square
[tex]h=10\ ft[/tex] ---> is given
substitute
[tex]LA=22(10)=220\ ft^2[/tex]
Part 2) Find the surface area
The surface area of a rectangular prism is equal to
[tex]SA=2B+LA[/tex]
where
LA is the lateral area
B is the area of the base
we have
[tex]LA=220\ ft^2[/tex]
[tex]B=5.5^2=30.25\ ft^2[/tex] ----> area of a square
substitute
[tex]SA=2(30.25)+220=280.5\ ft^2[/tex]
