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.
The diagram shows a box that Roger uses to hold trading cards. Right now, 1-third of the box is empty.
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
3 answers
pick one of the answers above
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.
C. 15 cubic inches
Therefore, the closest answer option would be 15 cubic inches.