Question

A sculptor needs to lift a piece of marble.

it is a cuboid with dimensions 1 m by 0.6 m by 0.3 m.
Marble has a density of 2.7 g/cm³.

what is the mass of the marble in kg?

Answer 1

486kg

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Answer 2

the mass of the marble in kg is 486 kg .

Explanation:

Here we have , a sculptor needs to lift a piece of marble. it is a cuboid with dimensions 1 m by 0.6 m by 0.3 m. Marble has a density of 2.7 g/cm³. We need to find what is the mass of the marble in kg . Let's find out :

We know that , Volume of cuboid =
`length(width)(height)`

⇒
`Volume = length(width)(height)`

⇒
`Volume =1(0.6)(0.3)`

⇒
`Volume =0.18m^3`

Also , We know that
`Density = (Mass)/(Volume)`

`Density = 2.7(g)/(cm^3)\\Density = 2.7(10^(-3)kg)/((10^(-2)m)^3)\\\\Density = 2.7(10^(-3)kg)/((10^(-6)m))\\Density = 2.7(10^(-3+6))kgm^-3}}\\\\Density = 2.7(10^(3))kgm^-3}}\\`

Now ,

⇒
`Density = (Mass)/(Volume)`

⇒
`2.7(10^3)= (Mass)/(0.18)`

⇒
`Mass=2.7(10^3)(0.18)`

⇒
`Mass=486kg`

Therefore , the mass of the marble in kg is 486 kg .