Final answer:
The volume of an open box with dimensions (7-2x) for the height, (10-2x) for the width, and x for the length is obtained by using the formula volume = length × width × height, and it is a cubic expression in terms of x after expanding the polynomial.
Step-by-step explanation:
To find the volume of an open box, you multiply its length by its width by its height. The question gives us the dimensions of the box as height = (7-2x), width = (10-2x), and a second height dimension, which seems to be a typo as boxes typically have one height, one width, and one length. Assuming that the 'second height' mentioned is the length of the box and it is 'x', we can now calculate the volume using the formula:
volume of stack = length × width × height
Substituting the given dimensions into this formula yields:
volume of stack = x × (10-2x) × (7-2x)
From here, the student can expand the polynomial and obtain a cubic expression in terms of x, which will represent the volume of the open box as a function of x.