How many millimeters is the side length of an aluminum cube (aluminum density ρ = 2700 kg / m3) if we know it weighs 2.7 kg?

How many millimeters is the side length (l) of an aluminum cube (aluminum density ρ = 2700 kg / m³) if we know it weighs 2.7 kg?

We know:

Aluminum = 2700 kg / m³ => 2.7 g / cm³

m = 2.7 kg => 2700 g

l =?



Solution

m = ρ x 1³

1³ = m / ρ

1³ = 2700 g / (2.7 g / cm³)

1³ = 1000 cm³

1³ = (10 cm)³

l = 10 cm

l = 100 mm



Legend
m = mass (kg)
l = length (mm)
ρ = density (kg / m³)

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