Question

Jeremy is looking at two storage boxes. The smaller box is a cube with side length s. The length of the larger box, l, is 4 times s. The width of the larger box, w, is 2 times s. The height of the larger box, h, is equal to s. The volume of the larger box, L(h), with height, h, is given with the following function.

L(h) = 8h3
Which statement best describes the coefficient of h3?

the area of the base of the large box

the number of small boxes that will fit inside the large box

the increase in the height of the large box

the number of small boxes that will fit alo

Answer 1

The important thing here is that \(h = s\) so that means \(8h^3 = 8s^3\)

Answer 2

No. What's the formula for area?

Answer 3

It's just width times length...

Answer 4

Area of base times height. Yes.
Anyway, what's the volume of the small cube?

Answer 5

I don't know, because it got cut off. "The number of small boxes that will fit alo" doesn't make much sense.

Answer 6

Rather than guessing at the choices let's finish walking through this, then you'll understand.
What's the volume of the small cube, given the side length is s?

Answer 7

What..

Answer 8

The side length is s. You don't know the value of s. So any area, volume, etc. will always be in terms of s.

Answer 9

i wanna learn i really do but its so hard

Answer 10

Ok, well. Think about this.

Answer 11

What's the area of that square?