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

Answer:

486kg

Step-by-step explanation:

density = mass / volume

2.7 = m / (100 x 60 x 30)   **** Note the conversion to cm as the density is given in g/cm.

2.7 = m / 180000

m = 486000g

Now convert to mass in kg:

486000 g x 1 kg / 1000 g = 486kg

Answer 2

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

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

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:

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

Then, the mass, in g is:

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

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

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

A similar problem is given at https://brainly.com/question/16909559