Reza is helping En Shah to make a box without the top.The box is made by cutting away four squares from the corners of a 30cm square piece of cardboard as shown in Figure 1 and bending up the resulting cardboard to form the walls of the box.
The volume is x(30-2x)^2
The area is (30-2x)^2 + 4x(30-2x)
sTEVE I CANT UNDERSTAND
Neither can I. You never asked a question.
To find the dimensions of the resulting box, we need to determine the length of the sides of the squares cut out from the corners.
Let's assume that the squares removed from each corner have side length 'x' cm.
Since a square is being cut out from each corner, the resulting length and width of the box will be the original length minus twice the side length of the square. In this case, the original length of the cardboard is 30 cm.
So, the length of the resulting box will be (30 - 2x) cm, and the width will also be (30 - 2x) cm.
To determine the height of the box, we need to consider the side length of the square that was removed from the corners. This will be the height of the box.
Therefore, the side length of the square removed from the corners is 'x' cm, and it is the height of the box.
To find the value of 'x', we need additional information or constraints provided in the problem. Without those constraints, we cannot calculate the exact value of 'x' or the dimensions of the resulting box.