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) $$LA=220\ ft^2$$Part 2) $$SA=280.5\ ft^2$$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$$LA=Ph$$whereP is the perimeter of the baseh is the height of the prismwe have$$P=4(5.5)=22\ ft$$ ---> the perimeter of a square$$h=10\ ft$$ ---> is givensubstitute$$LA=22(10)=220\ ft^2$$Part 2) Find the surface areaThe surface area of a rectangular prism is equal to$$SA=2B+LA$$whereLA is the lateral areaB is the area of the basewe have$$LA=220\ ft^2$$$$B=5.5^2=30.25\ ft^2$$ ----> area of a squaresubstitute$$SA=2(30.25)+220=280.5\ ft^2$$