A gift box in the shape of a cylinder has a diameter of 8 inches and a height of 12 inches. Which measurement is closest to the total surface area of the gift box in square inches?

Question

Responses
A 402.12 in.2402.12 in. 2
B 301.59 in.2301.59 in. 2
C 1,005.31 in.21,005.31 in. 2
D 603.19 in.2603.19 in. 2

Answer 1

The formula for the total surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius of the base and h is the height.

In this case, the diameter of the cylinder is 8 inches, so the radius is half of that, which is 8/2 = 4 inches. The height is given as 12 inches.

Using the formula, we can calculate the total surface area:

2π(4)^2 + 2π(4)(12) = 32π + 96π = 128π

To find the closest measurement, we can approximate π as 3.14:

128π ≈ 128(3.14) = 402.12

Therefore, the closest measurement to the total surface area of the gift box is 402.12 square inches.

Answer: A) 402.12 in.2