Question

a student measures the mass of a 10 m3 block of gold to be 500 kg. what is the density of the gold

Answer 1

Answer:

mass/density = density

Answer 2

Given:

Mass of gold block = 500 Kg

Volume of gold block = 10 m³

To find:

Density of the gold block.

Solution:

Density is defined as the ratio of mass of the material to the volume of the given material.

It is represent in unit = gcm⁻³

It is denoted by d.

Formula used to find density is-

        $d = \frac{m}{V}$

here, d = density

        m = mass

         V = volume

converting mass into g, we get

mass = 500 Kg = 500 × 1000 g

             mass = 5 × 10⁵ g

converting volume into cm³, we get

volume = 10 m³ = 10 × ( 100cm × 100cm × 100cm)

             volume = 10⁷ cm³

Now, by putting all the values, we get

               $d = \frac{5 \times 10^5 g}{10^7 cm^3}$

              d = 5 × 10⁵⁻⁷ gcm⁻³

              d = 5 × 10⁻² gcm⁻³

Therefore, the density of the gold block of mass 500kg and volume 10m³ is found to be 5 × 10⁻² gcm⁻³.