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

• A. $1.6048gc{m}^3$
• B. $1.69gc{m}^3$
• C. $1.7gc{m}^3$
• D. $1.695gc{m}^3$

Answer 1

The correct option is C $1.7gc{m}^3$

The answer to a multiplication or division is rounded off to the same number of significant figures as possessed by the least precise term used in the calculation. The final result should retain as many significant figures as are there in the original number with the least significant figures. In the given question, density should be reported to two significant figures
$Density=\frac{4.237g}{2.5c{m}^3}=1.6948$
After rounding off the number, we get density $=1.7$