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Question

What is the total surface area of the pencil sharpener? You answer should have two decimal places.

(1 point)
cm2

Answer 1

The total surface area of the pencil sharpener can be calculated by adding up the areas of all its sides.

Given that the sharpener has dimensions:
- Length = 4.5 cm
- Width = 2.5 cm
- Height = 1.5 cm
- Diameter of the hole = 1 cm

The total surface area can be calculated as follows:

Front and Back Sides = 2 * (Length * Width) = 2 * (4.5 * 2.5) = 22.5 cm2
Top and Bottom Sides = 2 * (Length * Height) + π * (0.5^2) = 2 * (4.5 * 1.5) + π * (0.5^2) = 13.523 cm2
Side Sides = 2 * (Width * Height) = 2 * (2.5 * 1.5) = 7.5 cm2

Total Surface Area = Front and Back Sides + Top and Bottom Sides + Side Sides
Total Surface Area = 22.5 + 13.53 + 7.5 = 43.53 cm2

Therefore, the total surface area of the pencil sharpener is 43.53 cm2.