The marble cube presses against the table surface with a force of 100N. determine the volume

The marble cube presses against the table surface with a force of 100N. determine the volume of the cube (density of marble 2700kg / m3)

1. The force with which the cube presses on the surface of the table is equal to its weight. Let’s write the condition:

P = 100 N

ρ = 2700 kg / m3

V-?

2. Using the formula for finding the weight, you can find the body weight:

P = mg

m = P / g

m = 100 N / 10 N / kg = 10 kg

3. From the standard formula for the density of an object, we derive the formula for calculating its volume and, substituting the values from the condition, we find the numerical answer:

ρ = m / V

V = m / ρ

V = 10 kg / 2700 kg / m3 = 0.0 (037) m3

4. Let’s round the value to thousandths and write down the answer:

0.0 (037) m3 = ~ 0.004 m3

Answer: ~ 0.004 m3