A block of foam rubber has a mass of 90 g, determine the mass of 1 m3 of foam rubber in kilograms

A block of foam rubber has a mass of 90 g, determine the mass of 1 m3 of foam rubber in kilograms, the dimensions of a block are 10 cm. 15 cm. 20 cm.

Let us express the dimensions of the bar in meters:

1 m = 100 cm;

10 cm = 10: 100 = 0.1 m;

15 cm = 15: 100 = 0.15 m;

20 cm = 20: 100 = 0.2 m.

Let’s find the volume of the bar:

0.1 * 0.15 * 0.2 = 0.015 * 0.2 = 0.003 m3 – the volume of the foam rubber bar.

Let’s express the mass of a foam rubber bar in kilograms:

1 kg = 1000 g;

90 g = 90: 1000 = 0.09 kg – the mass of the foam rubber bar.

Let’s make a proportion, expressing through x the mass of 1m3 of foam rubber:

0.003m3 – 0.09 kg;

1m3 – х.

x = 1 * 0.09: 0.003;

x = 0.09: 0.003;

x = 30 kg – weight of 1m3 foam rubber.

Answer: the weight of 1m3 foam rubber is 30 kg.