Anton use a square cardbaord to make an open box.He cut small squares of the same dimension from the corners of the card board then bent the side upward.The length of the sides of the cardboard is 28 cm.
A. What expression represents the length of sides of the box?
B. How would you represent the area of the base of the box?
C. Supposed the length of the side of each small square is 8 cm.What would be the area of the base of the box?
I need the answer now please
A. if x is cut from each corner, then each side of the square base is 28-2x. When the tabs are folded up, the height of the open box will be x.
As you know, volume is length*width*height
B. The area (outside only) is the area of the square base plus 4 sides of length 28-2x and height x
C. should be clear from the above hints
A. To determine the length of the sides of the box, we need to consider that each small square cut from the corners reduces the length of the sides by twice its dimension. Since the length of each small square is 8 cm, the total reduction in length is 2 * 8 = 16 cm. Therefore, the length of the sides of the box would be 28 cm - 16 cm = 12 cm.
B. The base of the box is formed by the remaining cardboard after cutting the squares from the corners. In this case, the remaining cardboard forms a rectangle. To represent the area of the base, we multiply the length and width of the rectangle. Since the length of the sides of the box is 12 cm, the length of the base would be 12 cm. The width of the base remains unchanged since no squares were cut from the top/bottom edges. Therefore, the area of the base of the box is 12 cm * width.
C. Given that the side length of each small square is 8 cm, we can calculate the area of the base by multiplying the length and width of the base. As explained earlier, the length of the base is 12 cm, and since squares of the same dimension were cut from each corner, the width of the base would also be 12 cm. Hence, the area of the base of the box would be 12 cm * 12 cm = 144 cm².
Please note that the provided answer is based on the information provided in the question.