Question

The mass of a cube,

Answer 1

The mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

M ∝ L³

After removing proportional sign

M = cL³

Plug M = 50 kg and L = 70 cm = 0.7 m

50 = c(0.7)³

c = 145.77 kg/m³

If L = 0.9 m, then M

M = (145.77 kg/m³)(0.9 m)³

M = 106.266 ≈ 106.27 kg

Thus, the mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).

Learn more about the proportional here:

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