Question

Mass and volume of a body are given as $8.78\text{kg}$ and $2.443{\text{m}}^3$ respectively. Represent the density of body in correct number of significant figures.

• A. $3.59{\text{kg/m}}^3$
• B. $3.5939{\text{kg/m}}^3$
• C. $3.58{\text{kg/m}}^3$
• D. $3.593{\text{kg/m}}^3$

Answer 1

The correct option is A $3.59{\text{kg/m}}^3$

Given,
Mass of a body $=8.78\text{kg}$ and
Volume of body $=2.443{\text{m}}^3$

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}=\frac{8.78}{2.443}=3.5939418{\text{kg/m}}^3$

We know from the rule for multiplication, the final result should have as many significant figures as there are in the original number with the least significant figures.

Therefore, density will have three significant figures and we will round off it to get,
Density$=3.59{\text{kg/m}}^3$

Hence, option $\left(\text{D}\right)$ is the right choice.