Question

Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h – 5)(h – 6). Graph the function. What is the maximum volume for the domain 0 < h < 6? Round to the nearest cubic foot.

Answer 1

How would I solve this?

Answer 2

Have you tried graphing it? Or attempting it?

Answer 3

I'm not sure HOW to graph it. e_e

Answer 4

V(h) = h(h – 5)(h – 6) is of the form of a factored cubic

To graph it, set h(h – 5)(h – 6) = 0
What is h equal to just by looking at the equation?

Answer 5

@xKingx

Answer 6

Srry slow pc, but to answer your earlier question, I'm not sure

Answer 7

You know that if a x b x c = 0
Then ONE of the variables (a or b or c) MUST be equal to 0.

Do you understand this

Answer 8

yea

Answer 9

Then if h(h – 5)(h – 6) = 0
h = 0
h-5 = 0
h-6 = 0

Answer 10

Do you understand this

Answer 11

Yea

Answer 12

What is h equal to then

Answer 13

0

Answer 14

So it would go 0<0<6, but that wouldn't give me any cubic feet to round.

Answer 15

Nope
You forgot h-5=0 and h-6 =0

From h-5=0, we can see that h=5

Answer 16

So what is h equal to?