A wooden block whose mass is 560g has a length of 20 cm, a width of 10 cm and a thickness of 4 cm

A wooden block whose mass is 560g has a length of 20 cm, a width of 10 cm and a thickness of 4 cm, determine the density of the tree from which it is made.

To find the density of matter ρ, from which a wooden block of volume V and mass m is made, we use the definition of this concept: ρ = m: V. In this formula, the volume of the bar is found by the formula for the volume of a parallelepiped: V = a ∙ b ∙ с. We get:

ρ = m: (a ∙ b ∙ s).

From the condition of the problem it is known that the mass of the bar is m = 560 g = 0.56 kg, it has a length a = 20 cm = 0.2 m, a width b = 10 cm = 0.1 m and a thickness c = 4 cm = 0, 04 m.Substitute the values of the quantities in the calculation formula:

ρ = 0.56 kg: (0.2 m ∙ 0.1 m ∙ 0.04 m);

ρ = 700 kg / m ^ 3.

Answer: the density of the wood from which the block is made is 700 kg / m ^ 3.