The diagram shows a box that Roger uses to hold trading cards. Right now, 1-third of the box is empty.

Question

The box has a width of 9 in., a depth of 3 in., and a height of 3 in.

Question
What is the volume of the ,begin emphasis,empty,end emphasis, part of the box?

Answer options with 4 options
A.
3 cubic inches

B.
5 cubic inches

C.
15 cubic inches

D.
27 cubic inches

Answer 1

C. 15 cubic inches

To calculate the volume of the empty part of the box, we first need to find the total volume of the box and then subtract the volume of the cards taking up 2-thirds of the box.

Total volume = length x width x height
Total volume = 9 in x 3 in x 3 in = 81 cubic inches

Volume of the cards = 81 cubic inches x 2/3 = 54 cubic inches

Volume of the empty part of the box = Total volume - Volume of the cards
Volume of the empty part of the box = 81 cubic inches - 54 cubic inches = 27 cubic inches

So, the volume of the empty part of the box is 27 cubic inches. However, since only 1-third of the box is empty, we need to find 1/3 of 27 cubic inches.

Volume of the empty part of the box = 27 cubic inches x 1/3 = 9 cubic inches

Therefore, the correct answer is not one of the answer choices provided.

Answer 2

pick one of the answers above

Answer 3

In that case, the closest answer option to the calculated volume of the empty part of the box is:

C. 15 cubic inches

Therefore, the closest answer option would be 15 cubic inches.