MATH SOLVE

4 months ago

Q:
# 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 ft2L = 280.5 ft 2 ; S = 220ft2 L = 170.5 ft2 ; S = 280.5ft2 L = 220ft 2 ; S = 280.5 ft2

Accepted Solution

A:

Answer:Part 1) [tex]LA=220\ ft^2[/tex]Part 2) [tex]SA=280.5\ ft^2[/tex]L = 220 ft2 ; S = 280.5 ft2Step-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 ftPart 1) Find the lateral areaThe lateral area of a rectangular prism is equal to[tex]LA=Ph[/tex]whereP is the perimeter of the baseh is the height of the prismwe have[tex]P=4(5.5)=22\ ft[/tex] ---> the perimeter of a square[tex]h=10\ ft[/tex] ---> is givensubstitute[tex]LA=22(10)=220\ ft^2[/tex]Part 2) Find the surface areaThe surface area of a rectangular prism is equal to[tex]SA=2B+LA[/tex]whereLA is the lateral areaB is the area of the basewe have[tex]LA=220\ ft^2[/tex][tex]B=5.5^2=30.25\ ft^2[/tex] ----> area of a squaresubstitute[tex]SA=2(30.25)+220=280.5\ ft^2[/tex]