Question

Clemson University Packaging Science Department has asked its freshmen students to construct an open-topped box from a piece of cardboard 30 inches by 70 inches by cutting out squares of width x from the corners and folding up the flaps. Find the corners and folding up the flaps. Determine x so that the box has a volume of 6272 cubic inches.​

Answer 1

To find the corners and folding up the flaps, we need to determine the value of x in the given question. The volume of the box can be calculated by multiplying its length, width, and height. We can solve the equation (30 - 2x)(70 - 2x)(x) = 6272 to find the value of x.

Step-by-step explanation:

To find the corners and folding up the flaps, we need to determine the value of x in the given question. Let's start by drawing a diagram of the open-topped box. Since the box is formed by cutting squares of width x from the corners of a rectangle, the length and width of the resulting box will be reduced by 2x. The height of the box will be equal to x.

The volume of the box can be calculated by multiplying its length, width, and height. So, we have:

(30 - 2x)(70 - 2x)(x) = 6272

Now, we solve this equation to find the value of x.