a packaging company manufactures a cardboard box with a volume of 864 cubic inches. the length of the box is 24 inches, and the ends of the box are square. what is the height of the box in inches?

volume = length x weight x height

the ends of the box are square, so
height = weight

volume = length x height x height

plug in the numbers and solve for height

I think on the first and fourth line, Cat meant width vice weight.

To find the height of the box, we need to divide the volume of the box by the product of the length and the width. In this case, the volume is given as 864 cubic inches and the length is given as 24 inches. Since the ends of the box are square, the width and height are the same.

Let's represent the width and height of the box as "w". Since the length is 24 inches, the volume equation can be written as:

Volume = Length x Width x Height
864 = 24 x w x w
864 = 24w^2

To find the value of w, we can rearrange the equation and solve for w:

w^2 = 864/24
w^2 = 36
w = √36
w = 6

Therefore, the width and height of the box is 6 inches.