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Plz help!
A sculptor needs to lift a piece of marble.
It`s a cuboid with dimensions 1m by 0.6m by 0.3m.
Marble has a density of 2.7g/cm3

What is the mass of the marble in kg?

Sagot :

Answer:

486kg

Step-by-step explanation:

Using the density concept, it is found that the mass of the marble is of 486 kg.

Density is mass divided by volume, thus d = \frac{m}{v}d=vm .

In this problem, the density is of 2.7 g/cm³.

The volume of a cuboid is given by the multiplication of their dimensions.

Density is in g/cm³, thus, we want the dimensions in centimetres.

Considering that 1m = 100 cm, the dimensions are 100 cm, 60 cm and 30 cm.

Thus, the volume, in cm³, is:

V = 100 \times 60 \times 30 = 180000V=100×60×30=180000

Then, the mass, in g is:

d = \frac{m}{v}d=vm

m = dv = 2.7(180000) = 486000m=dv=2.7(180000)=486000

Each kg has 1000g, thus, the mass of the marble is of 486 kg.

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