Cubes: Worded problems

A cube has a volume of 84 cm3.

How many entire 8 cm³ cubes can fit inside the given cube?

$10$

A cube has a volume equal to 125 cm3.

If we pour 75 cm³ of water into it, how high will the water reach?

$3$ cm

Below is a cube with a volume equal to 64 cm3.

If we pour 32 cc of sand into the cube, how high will the sand reach?

$2$ cm

Given a cube whose volume is equal to 125 cm3

We put into the cube 5 spheres, the volume of each sphere is 10 cm³.

What is the ratio between the total volume of the spheres and the volume remaining in the cube after inserting the spheres?

$\frac{2}{3}$

Given a cube whose volume is equal to 112 cm3

How many 10 cm³ cubes can fit completely in the given cube?

$11$

If we increase the side of a cube by 6, how many times will the volume of the cube increase?

$6^3$