The total surface area of this eraser can be calculated by finding the surface area of each shape that makes up the eraser and adding them together.
The eraser consists of two circular ends with a diameter of 1.12 inches and a rectangular prism with dimensions 6 inches by 2 inches by 1.5 inches.
Surface area of two circular ends:
= 2 * (π * radius^2)
= 2 * (π * (1.12/2)^2)
= 2 * (π * 0.56^2)
= 2 * (π * 0.3136)
= 1.972 in^2
Surface area of rectangular prism:
= 2*(length * width) + 2*(length * height) + 2*(width * height)
= 2*(6*2) + 2*(6*1.5) + 2*(2*1.5)
= 2*(12) + 2*(9) + 2*(3)
= 24 + 18 + 6
= 48 in^2
Total surface area of the eraser:
= Surface area of two circular ends + Surface area of rectangular prism
= 1.972 + 48
= 49.972 in^2
Therefore, the total surface area of this eraser is 49.97 square inches.
What is the total surface area of this eraser? Your answer should have two decimal places. 1.12 in 6 in 2 in 1.5 in
1 answer