Question

A solid has how many dimensions?

Answer 1

Hint: To solve the question given above, we will first find out what is solid and what are dimensions. Then we will find out how to draw any solid and count the number of dimensions it will have. For ease, the figure we will be taking is a cuboid and we will count its dimensions.

Complete step-by-step answer:
Before solving the question above, we must know about the terms like solids and dimensions. A solid is any closed figure which occupies volume and has a definite shape and size. Dimensions in mathematics are the measure of the size or distance of an object or region or space in one dimension. In simpler forms, it is the measurement of the length, width and height of anything. Now, we have to find out how many dimensions a solid has. For this, we will draw a cuboid (which is a solid) and we will find out the dimensions of the cuboid:

In this above we can see that the minimum edges required to form a cuboid is 3: AB, AD and AE. These are height, length and width respectively. Thus the dimensions of a cuboid are length, breadth and height. Thus, as a cuboid, there are three dimensions.
Hence, a solid has 3 dimensions.
Note: It is not always necessary that we are able to count the dimensions of a solid like we did in the case of cuboid. In the sphere, we cannot count any dimensions. This does not mean that the sphere is a dimensionless figure. The sphere occupies a volume and anything which occupies a volume should have 3 units of length. Thus, the sphere will be a 3-dimensional figure.