What is the total surface area of the eraser? The width is 1.5in, the length is 6in, the height is 1.12in, and the base is 2in. Your answer should have two decimal places.

Answer 1

First, let's calculate the surface area of the rectangular prism part of the eraser:

Surface area of the front and back faces = 2 * length * height
Surface area of the top and bottom faces = 2 * width * height
Surface area of the two side faces = 2 * length * width

Surface area of the rectangular prism part = 2 * (6 * 1.12) + 2 * (1.5 * 1.12) + 2 * (6 * 1.5)
Surface area of the rectangular prism part = 2 * 6.72 + 2 * 1.68 + 2 * 9
Surface area of the rectangular prism part = 13.44 + 3.36 + 18
Surface area of the rectangular prism part = 34.8 square inches

Next, let's calculate the surface area of the base part of the eraser:

Surface area of the circular base = π * radius^2
Surface area of the circular base = π * (1.5)^2
Surface area of the circular base = π * 2.25
Surface area of the circular base = 7.07 square inches

Total surface area of the eraser = Surface area of the rectangular prism part + Surface area of the circular base
Total surface area of the eraser = 34.8 + 7.07
Total surface area of the eraser = 41.87 square inches

Therefore, the total surface area of the eraser is 41.87 square inches.