Question

5 kg of material A occupy 20 cm³ whereas 20 kg of materia! B occupy 90 cm³. Which has the greater density : A or B ? Support your answer with calculations.

Answer 1

ρ (density of material A) = ?
V (volume of material A) = 20 cm³
m (mass of material A) = 5 kg = 5 × 1,000 = 5,000 g
`ρ = m/V`
= `5000/20`
ρ = 250 g/cm³
Ans: Density of material A = 250 g/cm³.

ρ (density of material B) = ?
V (volume of material B) = 90 cm³
m (mass of material B) = 20 kg = 20 × 1,000 = 20,000 g
`ρ = m/V`
= `(20,000)/90`
ρ = 222.222 g/cm³
Answer: Density of material B = 222.22 g/cm³.
A has greater density.