Question

A cube measures 1.0 cm on each side. What is the volume of the cube? If this cube is dropped into 28.0 ML of water, what will be the new volume reading on the graduated cylinder?

Answer 1

The volume of the cube is 1.0cm x 1.0cm x 1.0cm = 1.0 cm3. If this cube is dropped into 28.0 mL of water, the new volume reading on the graduated cylinder will be 29.0 mL.
1 cm3 = 1 mL
The cube will displace a volume of water equal to its own. That's why the liquid level will rise.

Answer 2

Answer: The volume of cube is
`1cm^3` and the new volume reading is 29 mL.

Step-by-step explanation:

To calculate the volume of cube, we use the formula:

`V=a^3`

where,

a = edge length of cube = 1.0 cm

Volume of cube =
`(1.0)^3=1cm^3`

The volume displaced by the cube will be equal to its own volume.

So, to calculate the new volume of the graduated cylinder, we just add the volume of graduated cylinder and the volume of cube.

Volume of graduated cylinder = 28 mL

Volume of cube =
`1cm^3=1mL` (Conversion factor:
`1mL=1cm^3` )

New volume = Volume of graduated cylinder + Volume of cube

New volume = (28 + 1) mL = 29 mL

Hence, the volume of cube is
`1cm^3` and the new volume reading is 29 mL.