Question

Sara is wrapping gift boxes. Each gift box is a rectangular prism with a square base of side 6 inches. The difference between the heights of the two gift boxes is 3 inches.

If the larger box has a surface area of 216 square inches, what is the difference in the surface area of the two boxes?

108 square inches

72 square inches

36 square inches

18 square inches

Answer 1

plz help anyone

Answer 2

@Mertsj will you help me please?

Answer 3

@Mertsj Hello?

Answer 4

thank you so much I just cant understand this problem

Answer 5

The big box is a cube. 6 by 6 by 6. Would you agree?

Answer 6

well my teacher told me not to assume anything, and it says they are both rectangluar prism

Answer 7

I know the ratio between dimension to surface ratio it a^2/b^2, but I dont know how tto apply that in this problem

Answer 8

only one dimension has changed, and it doesnt tell me the height

Answer 9

Well but it says that the base of both boxes is a 6 by 6 square and that the surface area of the big box is 216. If the bottom area is 36 the top area is also 36 and that leaves 144 for the other 4 faces each of which has one side which is 6. so the height must also be 6. Do you agree?

Answer 10

oh okay yeah

Answer 11

but wont that make the height 4?

Answer 12

oh wait nvm thanks for the help

Answer 13

So the smaller box has height 3 so you can easily calculate the surface area and subtract from 216 to find the difference.

Answer 14

yup its 72

Answer 15

216-144 = 72 I was thinking of doing it that way, but I assumed it wouldnt work

Answer 16

I keep assuming, and I need to stop that habit

Answer 17

Yes you do.