Question

The quantity of space occupied by a body is its:
$\begin{gathered}
 (A)\,\,Area \\
 (B)\,\,Length \\
 (C)\,\,Volume \\
 (D)\,\,T.S.A. \\
\end{gathered} $

Answer 1

Hint: To find an accurate answer for a given statement we discuss the dimension of figures with the help of which we can choose the right option from given options.

Complete step-by-step answer:
As, we know that in mathematics figures are classified according to dimensions. Figure will be named one dimension, two dimensional or three dimensional according to how many components are required to measure it completely.
As, for a straight line we see that it requires only one component to measure it completely. Therefore we can say that line is one dimensional and it possesses only length.
And for square, rectangle etc. figures required two components one is considered as length and other is breadth or width. Therefore, these figures are named as two dimensional figures.
Two dimensional figures cover the surface of the body when they are placed on some other body. Hence, two dimensional figures have area and perimeter which belongs to the length of outer boundary.
Also, for figures like cuboid, sphere, cylinder etc. these figures require three components which are length, breadth and height or depth. Therefore, these are named as three dimensional figures.
And we see that these types of figures occupy space and area. Therefore, these figures possess volume and surface area.
Hence, from above we see that the quantity of space occupied by a body is its Volume.
Therefore, from given four options the correct option is option (C).
So, the correct answer is “Option C”.

Note: In normal some time we use word space for figures like square and rectangle in manner that they cover space on placing on some object but it does not mean that these two dimensional figures also possess volume.
Hence, justification of length, area and volume related to figure totally depends upon how many dimensions are required to measure figure completely.