Question

A block of wood has mass 200kg. If the density of wood is 800 $\dfrac{{{\text{kg}}}}{{{{\text{m}}^{\text{3}}}}}$. Its volume will be
A.$0.25{\text{ }}{{\text{m}}^{\text{3}}}$
B.25 ${{\text{m}}^{\text{3}}}$
C.250 ${\text{c}}{{\text{m}}^{\text{3}}}$
D.None of these

Answer 1

Hint: Density is defined as is mass per unit volume. Density is expressed in terms of grams per cubic centimeter or kilograms per cubic meter. It is also used to work out if something will float in water, and it can also be useful for calculating the mass of a specific volume of a substance.
Formula used: Density=$\dfrac{{{\text{Mass}}}}{{{\text{Volume}}}}$ --(i)

Complete step by step answer:
From the question, we are given Mass = 200kg and density= 800 $\dfrac{{{\text{kg}}}}{{{{\text{m}}^{\text{3}}}}}$.
From equation (i) we can write the relation of volume as Volume = $\dfrac{{{\text{Mass}}}}{{{\text{Density}}}}$.
Now substituting the given values in this equation, we get:
Volume = $\dfrac{{200}}{{800}}{{\text{m}}^{\text{3}}}$
Rearranging:
Volume = $0.25{{\text{m}}^{\text{3}}}$

Therefore, we can conclude that the correct answer to this question is option A.

Note:
 The number density of objects refers to the number of whatever it is you’re counting within a unit of volume. Similarly, the charge density is the amount of electric charge per unit of volume. Another type of density is population density, which is a measure of the number of people per unit area or volume. Particle density refers to the number of particles per unit volume, not to the density of a single particle generally, density means the amount of something within a certain amount of space.