SOLUTION: An open-toppped bix is to be constructed from a square piece of cardboard by removing a square with side length 8 cm from each corner and folding up the edges. The resulting box i

Algebra ->  Equations -> SOLUTION: An open-toppped bix is to be constructed from a square piece of cardboard by removing a square with side length 8 cm from each corner and folding up the edges. The resulting box i      Log On


   



Question 249031: An open-toppped bix is to be constructed from a square piece of cardboard by removing a square with side length 8 cm from each corner and folding up the edges. The resulting box is to have a volume of 512 cm3. Find the dimensions of the original piece of cardboard. Include a diagran, algebraic model and all.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An open-toppped box is to be constructed from a square piece of cardboard by removing a square with side length 8 cm from each corner and folding up the edges.
The resulting box is to have a volume of 512 cm3. Find the dimensions of the original piece of cardboard.
Include a diagram, algebraic model and all.
:
If it's a square box and the height is 8, all the dimensions are 8
8*8*8 = 512 cu/cm as it says
:
8cm squares subtract 16 cm from the original piece dimensions; therefore
The cardboard dimensions: 24 by 24
:
:
You can draw the diagram