Q:

A company sells cereal in two different -sized boxes.The smaller box has the dimensions of 12-inch,2-inch and 7 3/4 i.The height of the smaller box is 80% of the height of the lager box,while the other two dimensions are the same for both boxes.What is the difference in the volumes of the two boxes?

Accepted Solution

A:
We will take the volume of each box separately to find the difference between them.
 We have then that the volume of the boxes is:
 V = (L) * (W) * (h)
 Where,
 L: long
 W: width
 h: height
 The smaller box:
 V1 = (12) * (2) * (7 3/4)
 V1 = 186 in ^ 3
 the lager box:
 V2 = (12) * (2) * ((7 3/4) * (100/80))
 V2 = 232.5 in ^ 3
 The difference is:
 V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3
 Answer:
 The difference in the volumes of the two boxes is:
 46.5 in ^ 3