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 answer

The pencil sharpener consists of two cylinders and one rectangular prism.

Total surface area = 2πr^2 + 2πrh + lwh
r = radius of the cylinders = 2 cm
h = height of the cylinders = 5 cm
l = length of the rectangular prism = 6 cm
w = width of the rectangular prism = 4 cm

Total surface area = 2π(2^2) + 2π(2)(5) + (6)(4)(2)
Total surface area = 8π + 20π + 48
Total surface area ≈ 151.20 cm^2

Therefore, the total surface area of the pencil sharpener is approximately 151.20 cm^2.