Question

What is the density of a wood block with a mass of 57 grams and a volume of 125$c{{m}^{3}}$?

Answer 1

Hint: We are given the values of mass and volume of the substance and these can be directly used to find the density by taking the ratio of mass and volume. The unit of the density will be taken as grams per centimeter cube.

Complete answer:
We know that a substance has many properties which can be used to find the properties. These properties are mass, temperature, volume, pressure, density, etc. We can use mass and volume to find the density of the substance.
We are given the values of the mass of the wood as 57 grams and the volume of the woodblock as 125$c{{m}^{3}}$ and these can be directly used to find the density by taking the ratio of mass and volume. The mass is given in grams and volume is given in a centimeter cube, so we don't have to change the unit. The unit of the density will be taken as grams per centimeter cube.
The formula used will be:
$d=\dfrac{M}{V}$
Now, putting the values in the formula, we can write:
$d=\dfrac{57}{125}=0.46\text{ g/c}{{\text{m}}^{3}}$
So, the density of the wood block is 0.46 grams per centimeter cube.

Note:
We have not converted the value of either mass or volume because both the values are on the same scale. If the value of the mass is given in kilograms then the volume of the substance must be taken in meter cube and the density will be in kilogram per meter cube.