Question

The mass and volume of a body are $4.237g$ and $2.5c{m}^3$ respectively. The density of the material of the body in correct significant figures is.

Answer 1

Step 1: Given Data

The mass of the body= $4.237g$

The volume of the body= $2.5c{m}^3$

Step 2: Formula used

The formula of density is $Density=\frac{Mass}{volume}$

Step 3: Calculation

⇒ $Density=\frac{4.237g}{2.5c{m}^3}$

⇒ $Density=1.6948g/c{m}^3$

Step 4: Conceptual analysis

1. The number of significant digits for the given mass of the body is $4$.
2. The number of significant digits for the given volume of the body is $2$.
3. When we divide two numbers, we should count the significant figure of the two numbers we are dividing. Now we have to consider the minimum of them. Then we need to round off our final answer to the minimum of the two significant figures.
4. So, we need to round off our result to two significant figures.
5. Rounding of the density to two significant digits results $Density=1.7g/c{m}^3$.

Hence, the density of the body is $1.7g/c{m}^3$.