an open box is to be formed out of a rectangular piece of cardboard whose length is 8 cm longer than its width to form the box,a square of side 4 cm will be removed from each corner of the cardboard then the edges of the remaining cardboard will be turned up.

What is your question?

2312312

To find the dimensions of the open box, we can follow these steps:

Step 1: Let's start by assigning a variable to represent the width of the rectangular piece of cardboard. Let's call it "w".

Step 2: Since the length is given as 8 cm longer than the width, we can express the length as "w + 8".

Step 3: When squares of side 4 cm are removed from each corner, the length and width of the rectangular piece of cardboard will decrease by 8 cm (twice the side of the square). So the dimensions of the remaining cardboard will be "w - 8" and "w + 8 - 8" (since we removed one square from each corner).

Step 4: The height of the box will be the height of the turned-up edges, which is the side length of the square removed from each corner, i.e., 4 cm.

Step 5: The width, length, and height of the box are then "w - 8", "w + 8 - 8", and 4 cm, respectively.

Now we can write the dimensions of the box:

Width = w - 8 cm
Length = w
Height = 4 cm

Please note that the "w" in the width and length equations refers to the width of the rectangular piece of cardboard.

To find the dimensions of the open box, we need to determine the length, width, and height of the box. Here's what we can do step by step:

1. Let's start by expressing the width of the cardboard. We'll call it "w."
2. According to the problem, the length of the cardboard is 8 cm longer than its width. So, the length will be "w + 8."
3. When we cut out a square with a side of 4 cm from each corner, the dimensions of the remaining cardboard will be reduced by 8 cm (4 cm on each side). Therefore, the new dimensions of the cardboard are "w - 8" for the width and "(w + 8) - 8" = "w" for the length.
4. Now, let's consider folding up the edges of the remaining cardboard. This will give us the height of the open box, denoted as "h."
5. Since folding up the edges forms a right angle, the height of the box will be equal to the side length of the cut-out squares, which is 4 cm.
6. Therefore, the dimensions of the open box are width = "w - 8", length = "w", and height = 4 cm.

To find the value of "w" and subsequently determine the dimensions of the open box, we need some additional information or an equation relating to the volume or surface area. Do you have any further details or requirements for finding the value of "w"?