Question

A sculptor needs to lift a piece of marble.

Answer 1

the mass of the marble in kg is 486 kg .

Step-by-step 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 $Density = \frac{Mass}{Volume}$

$Density = 2.7\frac{g}{cm^3}\\Density = 2.7\frac{10^{-3}kg}{(10^{-2}m)^3}\\\\Density = 2.7\frac{10^{-3}kg}{(10^{-6}m)}\\Density = 2.7(10^{-3+6})kgm^-3}}\\\\Density = 2.7(10^{3})kgm^-3}}$

Now ,

⇒  $Density = \frac{Mass}{Volume}$

⇒  $2.7(10^3)= \frac{Mass}{0.18}$

⇒  $Mass=2.7(10^3)(0.18)$

⇒  $Mass=486kg$

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