Final answer:
After removing a square from each corner of a sheet and forming an open-top box, the new dimensions are found by subtracting twice the side length of the removed squares from the original dimensions for the length and width, and using the side length of the cut squares as the height.
Step-by-step explanation:
Understanding the New Dimensions of an Open-Top Box
The question asks how the dimensions of an open-top box will change after removing a square from each corner. When a square is removed from each corner of a sheet of material and the sides are folded up to form an open-top box, the new length and width of the box become the original length and width minus twice the side length of the squares removed because squares are removed from both ends. The height of the new box will be equal to the side length of the squares that were removed. Without the specific measurements of the original piece and the squares to be removed, the exact new dimensions cannot be calculated.However, the general concept is to subtract twice the cut-out square's side length from the original dimensions to find the new length and width, and use the cut-out square's side length as the new height.
For example, if the squares cut from the corners have a side length 's', and the original sheet has dimensions length 'L' and width 'W', the new dimensions of the box will be (L - 2s) for the length, (W - 2s) for the width, and 's' for the height.