Question

Two cubes of side 20 cm each, having
20 kg and 10 kg of mass. find the density of cubes. Are they made
material? Justify your answer.​

Answer 1

★$\large\color{red} \mathrm{Hey \: There!}$★

Edge of each cube = 20cm

=> Volume of each cube = (20)^3 = 800cm^3

Mass of Cube1 = 20kg

Mass of Cube2 = 10kg.

Thus,

★ Density of Cube1 :-

m = 20 kg

V = 800cm^3

=> Density (d1) = m/V

d1 = 20/800

d1 = 1/40

=> d1 = 0.025 kg/cm^3

★ Density of Cube2 :-

m = 10 kg

V = 800cm^3

=> Density (d2) = m/V

d2 = 10/800

d2= 1/80

=> d2 = 0.0125 kg/cm^3

Here, d1 ≠ d2, therefore, we can conclude that both cubes are made from different materials.

Answer 2

Edge of each cube = 20cm

=> Volume of each cube = (20)^3 = 800cm^3

Mass of Cube1 = 20kg

Mass of Cube2 = 10kg.

Thus,

Density of Cube1 :-

m = 20 kg

V = 800cm^3

=> Density (d1) = m/V

d1 = 20/800

d1 = 1/40

=> d1 = 0.025 kg/cm^3

Density of Cube2 :-

m = 10 kg

V = 800cm^3

=> Density (d2) = m/V

d2 = 10/800

d2= 1/80

=> d2 = 0.0125 kg/cm^3

Here, d1 ≠ d2, therefore, we can conclude that both cubes are made from different materials.