SOLUTION: Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume. a. What is the vo

Algebra ->  Algebra  -> Test -> SOLUTION: Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume. a. What is the vo      Log On

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Question 175755: Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume.
a. What is the volume of the box she has now?
b. What are the dimensions of the new box?
c. What is the volume of the new box?
Please explain. Thank you.
Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
You can put this solution on YOUR website!
Carol has a box with a length, width and height of 12 inches. She needs a box that is 3 inches longer, not as high, yet still has almost exactly the same volume.
:
a. What is the volume of the box she has now?
12*12*12 = 1728 cu inches
:
b. What are the dimensions of the new box?
Let h = height of the new box
12 * (12+3) * h = 728
12 * 15 * h = 728
180h = 728
h = 728%2F180
h = 4.04 ~ 4 inches high
New box dimensions: 15 by 12 by 4
:
c. What is the volume of the new box?
15 * 12 * 4 = 720 cu inches