Question

How many dimensions a solid has?

Answer 1

Determine the number of dimensions of solid:

Every solid has $3$ dimensions, because, as we call all the solids as ‘$3-\mathrm{D}$ ’ shapes, where $\mathrm{D}$ refers to dimensions.

The following are the examples of solids:

1. Cube: A cube has length, width and height, where all the three dimensions are of equal magnitude. Therefore the volume of cube is determined by the formula $V=s^3$ where $s$ denotes side of the cube and exponent is $3$ because the three dimensions are multiplied with each other thus describing it as a $3-\mathrm{D}$ object.
2. Cuboid: A cuboid has length, width and height of different magnitudes. Therefore the volume of cuboid is determined by the formula $V=l\times b\times h$ where $l,b,h$ denotes length, width and height of the cuboid and the three dimensions are multiplied with each other thus describing it as a $3-\mathrm{D}$ object.
3. Cylinder: A cylinder has radius and height as dimensions. The volume of cylinder is determined by the formula $V={\mathrm{\pi r}}^2\mathrm{h}$ where $r,h$ are radius and height of the cylinder and here we observe the radius is multiplied to itself and also with height i.e. three dimensions are involved i.e. radius, radius and height and thus describing it as $3-\mathrm{D}$ object.

Hence a solid has $3$ dimensions.