Question 249031
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