3. You measure a cube and determine that its sides are 0.65m. You place the cube on a mass scale and determine that this cube has a mass of 10,500 grams. What is the density of this cube in units of kg/m3 and in units of g/mL?

The density of the cube in-

Kg/m³ = 38.234 kg/m³

g/mL = 0.038234 g/mL

Explanation:

We know that volume of the cube equals m ³

Where "m" equals side of the cube

Given data-

Side of the cube=0.65m

mass of the cube = 10,500 gm

We know that 1000gm = 1 kg

Hence, 10,500 gm = 10.5 kg

Volume of the cube = (0.65) ³

∴ Volume = 0.274625 m ³

We know that density = mass/volume

⇒Substituting the value of mass and volume, we get-

⇒Density = 10.5/0.274625 = 38.234 kg/m³

We know that 1 kg/m³ = 0.001 g/mL

Hence 38.234 kg/m³ would equal 0.038234 g/mL

Hence the density of the cube is 38.234 kg/m³ and 0.038234 g/mL