Question

A cubic meter of concrete weighs 2400 kg. What is the density in g/cm³?

a) 2.4
b) 0.0024
c) 240
d) 0.24

Answer 1

The density of concrete is given as 2400 kg/m³ and converting this to g/cm³ gives us a density of 2.4 g/cm³.

Step-by-step explanation:

The question asks to find the density of concrete in grams per cubic centimeter (g/cm³) when given the density in kilograms per cubic meter (kg/m³). To convert the density from kg/m³ to g/cm³, we use the conversion:

1. 1 kg = 1000 g (to convert mass from kilograms to grams)
2. 1 m³ = 1,000,000 cm³ (to convert volume from cubic meters to cubic centimeters)

Therefore, if 1 cubic meter of concrete weighs 2400 kg, its density in g/cm³ would be:

(2400 kg/m³) * (1000 g/kg) / (1,000,000 cm³/m³) = 2.4 g/cm³.

So, the answer is 2.4 g/cm³, which corresponds to option (a).