Question

A rectangular solid of unknown density if 5 meters long, 2 meters high, and 4 meters

wide. The mass of this solid is 300 grams. Given this information for this material,
calculate the density.​

Answer 1

Answer:
`0.0075 kg/m^(3)`

Step-by-step explanation:

Density
`\rho` is defined as a relation between the mass
`m` and the volume
`V` of a substance, body or object:

`\rho=(m)/(V)` (1)

We already know the mass of the rectangular solid
`m=300g (1 kg)/(1000 g)=0.3 kg`, but we have to calculate its volume with the following dimensions:

`length=5m`

`height=2m`

`width=4m`

If the expression for volume in this case is:

`V=(length)(height)(width)` (2)

Then the volume of the unknown solid is:

`V=(5m)(2m)(4m)=40m^(3)` (3)

Substituting (3) in (1):

`\rho=(0.3 kg)/(40m^(3))` (4)

We finally obtain the density of the solid:

`\rho=0.0075 kg/m^(3)}` (5)