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.

Explanation

`(" 1 division of main scale")/("Number of divisions in vernier scale") = (1)/(10) = 0.1mm`
The side of cube `= 10mm + 1xx 0.1mm = 1.01cm`
Now, density `= ("Mass")/("Volume") = (2.736g)/((1.01)^(3) cm^(3)) = 2.66g cm^(-3)`