Question

The density of the object is equal to the mass of the object divided by the volume of the object. What is the volume, in millilitres, of an object with a mass of $24$ grams and density of $3$ grams per millilitre?
A) $0.125$
B) $8$
C) $21$
D) $72$

Answer 1

Hint: Here we will use the given formula for finding volume of the object and substitute the given values of mass and density in the formula which is provided in the question.

Complete step by step answer:
Mass of the object is $24$ grams and density of the object is $3$ grams per millilitre. The density of the object is equal to the mass of the object divided by the volume of the object.
Let mass of an object = m
m = $24$ grams
Let density of an object = d
d = $3$ grams per millilitre
Formula for density = $\dfrac{{Mass}}{{Volume}}$
Therefore, putting the given values of density and mass of the object in the formula, we will get:
$3 = \dfrac{{24}}{{volume}}$
$Volume \times 3 = 24$
Volume of the object $\dfrac{{24}}{3} = 8$ millilitre’s

Hence, the correct option is (B).

Note: While solving these types of question where values are given with units like (grams, millilitres, etc.), we have to keep the units similar (e.g., if one value is given in millilitres, then other value cannot be in grams per metre or grams per centimetres). In this kind of relation problem between quantities, firstly check for values given and values to find and then put in the formula to calculate unknown.