Question

not sure how to solve the last part of this math problem

Answer 1

In terms of the interval of answers that make sense for the dimensions of the box,
The length of the box's cross section cannot be 0,
nor can the length of the box's cross section be infinite.
Thus, we can restrict the domain of the box's volume function according to the interval:
(0, INFINITY)
since x can be any value within this interval, but it must be greater than 0 and less than infinity for the problem to make sense.

Answer 2

unfortunately i tried that already and it was incorrect

Answer 3

here is a sample problem provided though

Answer 4

I took a closer look at the equation, and I think I see what they're getting at. And the sample problem also helped, thank you for that.

It is still true that x must be greater than 0, but the equation does not allow x to approach infinity. According to the equation, (54 - 2x) must also be greater than 0 in order for the final value of V to be greater than 0.
So, what values of x can (54 - 2x) be greater than 0?
Or, another way I could as is, what is the largest value x could be, if 2x cannot be more than 54?

Answer 5

26?

Answer 6

Almost, x would be able to go up to 27, since 2*27 = 54
So, it's looking like the interval you'd want for x would be
(0, 27)

Answer 7

ahh

Answer 8

thank you smokey you are so good to me

Answer 9

You're very welcome :)
Took me longer than I should have to see the solution this time; thank you for being patient and giving me enough info to help you out!