Question

35. A can of popcorn is to be packed in a box for shipping as shown. The can is 18 inches tall and has a radius of 7 inches. The box is 19 inches tall and has a square base with sides of length 15 inches. All empty space around the can is to be filled with packing material. How many cubic inches of packing material will be needed?

Answer 1

The amount of packing material is 1506 cubic inches

How to determine the amount of packing material?

The given parameters are:

Can

Radius, r = 7 inches

Height, h = 18 inches

Box

Base dimension, l = 15 inches

Height, h = 19 inches

The volume of the can is:

$V = \pi r^2h$

So, we have:

$V_1 = 3.14 * 7^2 * 18$

$V_1 = 2769$

The volume of the box is

$V =l^2h$

So, we have:

$V_2 =15^2 * 19$

$V_2 =4275$

The amount of packing material is;

Amount = V2 - V1

This gives

Amount = 4275 - 2769

Evaluate

Amount = 1506

Hence, the amount of packing material is 1506 cubic inches

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