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

Answer 1

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

Surface area of the rectangular prism:
2(3.5cm × 3.5cm) + 2(3.5cm × 7cm) + 2(3.5cm × 3cm)
= 2(12.25cm^2) + 2(24.5cm^2) + 2(10.5cm^2)
= 24.5cm^2 + 49cm^2 + 21cm^2
= 94.5cm^2

Surface area of the cylinder:
2(3.5cm × 3.5cm) + 2(3.5cm × 4.5cm) + π(3.5cm)^2
= 2(12.25cm^2) + 2(15.75cm^2) + π(12.25cm^2)
= 24.5cm^2 + 31.5cm^2 + 38.48cm^2
= 94.48cm^2

The total surface area of the pencil sharpener is:
94.5cm^2 + 94.48cm^2 = 188.98cm^2

Therefore, the total surface area of the pencil sharpener is 188.98 cm^2.