The side of a cube is measured by vernier callipers (`10` divisions of a vernier scale coincide with `9` divisions of main scale, where `1` division of main scale is `1mm`). The main scale reads `10mm` and first division of vernier scale coincides with the main scale. Mass of the cube is `2.736 g`. find the density of the cube in appropriate significant figures.

Options

A. `1.03 cm^3`
B. `1.0303 cm^3`
C. `1.03 mm^3`
D. `1.0303 mm^3`

Answer

A

Explanation

Volume of the cube can be written as follows :
`V= x^(3)=(1.01)^(3)=1.0303cm^(3)`.
Since edge length id measured only upto 3 significant digits, hence volume must also be expressed in 3 significant digits. On rounding off the volume of cube to 3 significant digits we can write
`V= 1.03cm^(3)`