Question

Q1) 1 are = ....km2

Q2) 5kg/m3 = ....g/cm3​

Answer 1

Explanation:

first question is incomplete

answer for second question is

1kg/m3 = 10^3 g/cm^3

5kg/m3 = 5× 10^3 g/cm^3

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Answer 2

Q1)

Taking  1 are = 10² m²,

1 m = 10^-3 km

Squaring both sides,

1 m² = (10^-3)^2 km²  =  10^-6 km²

Multiplying 10² to both sides,

10² m² = 10² × 10^-6 km²

Changing LHS,

1 are = 10^(2 - 6) km²

1 are = 10^-4 km²

Q2)

1 kg = 10³ g

1 m = 10² cm

Cubing both sides,

1 m³ = (10²)³ cm³

1 m³ = 10^6 cm³

Now,

1 kg / m³  =  [(10³) / (10^6)] g / cm³

1 kg / m³  =  10^-3  g / cm³

Multiplying 5 to both sides,

5 kg / m³  =  5 × 10^-3  g / cm³

Hence Converted!