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.
Use the image to answer the question.
What is the total surface area of the pencil sharpener? You answer should have two decimal places.
(1 point)
cm2
1 answer