Question

Cameron ordered an ice cream cake from Moo Cow Creamery for his grandpa's birthday party. The cake was packed in a

cylindrical-shaped box. The dimensions of the box are shown in the diagram.
8 in.
24 in.
Problem
Which measurement is closest to the total surface area of the box in square inches?
A
603.19 in 2
B
1,507.96 in.
С
3,619.11 in 2
D
4,825.49 in.

Answer 1

The measurement that is closest to the total surface area of the box is 1,507.96
`in^2`.

Explanation:

The surface area of the cylinder can be found by adding the area of the two bases and the side, which is
`12^2\pi *2+ 24\pi *8 = 144\pi * 2+192\pi = 288\pi + 192\pi = 480\pi` ≈ 1507.96, so the correct answer is choice B.