Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on the plane. When we draw a flat shape on a paper, it occupies a certain area of paper. Solid shapes like cube, cuboid and cylinder occupy space. The amount of space occupied by a solid is called its volume.

Solid shape has length, breadth and height. 

Plane figures like triangle, quadrilaterals and circles do not occupy any space because they lie on a plane. But solid figures like those given below do occupy space.

Cube and Cuboid

Every object that occupies space has a volume.

What is volume?

The space occupied by any object is called the volume.

So, the volume of an object is the amount of space occupied by the object. 

Volume is measured in "cubic units".

Surface like the page of your book, black board, are called plane surfaces. They do not have any volume but have only area.

A cube is a solid whose length, breadth and height are equal. Therefore, a cube, is taken as the unit of solid to measure the amount of space that a solid occupies.

Consider a cube whose length, breadth and height are 1 cm. The volume of this cube is 1 cubic centimetre. It is written as cu cm or. cc. We call a cube with 1 cc volume a unit cube. We always measure volume in cubic units. 

1 cc = 1 cm × 1 cm × 1 cm

For measuring the volume of a solid, we count the number of unit cubes contained by the solid. 

Let us see how many cubes are there in the following cuboids. 

Cubes in Cuboid

The cuboid in figure (i) is formed by placing 4 cubes in a row. So, the volume of the cuboids is 4 cu cm. 

The cuboid in figure (ii) is formed by 8 cubes. So, the volume of the cuboids is 8 cu cm or 8 cc. The cuboid formed in figure 2 has a length of 4 cm, breadth 1 cm and height 2 cm.

Therefore, the volume of the cuboid = length × breadth × height

                                                     = 2 × 1 × 2

                                                     = 8 cu cm.


Units of Volume



Practice Test on Volume.

Worksheet on Volume.

5th Grade Geometry Page

5th Grade Math Problems

From Volume to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Subtracting Integers | Subtraction of Integers |Fundamental Operations

    Jun 13, 24 02:51 AM

    Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

    Read More

  2. Properties of Subtracting Integers | Subtraction of Integers |Examples

    Jun 13, 24 02:28 AM

    The properties of subtracting integers are explained here along with the examples. 1. The difference (subtraction) of any two integers is always an integer. Examples: (a) (+7) – (+4) = 7 - 4 = 3

    Read More

  3. Math Only Math | Learn Math Step-by-Step | Worksheet | Videos | Games

    Jun 13, 24 12:11 AM

    Presenting math-only-math to kids, students and children. Mathematical ideas have been explained in the simplest possible way. Here you will have plenty of math help and lots of fun while learning.

    Read More

  4. Addition of Integers | Adding Integers on a Number Line | Examples

    Jun 12, 24 01:11 PM

    Addition of Integers
    We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4…

    Read More

  5. Worksheet on Adding Integers | Integers Worksheets | Answers |Addition

    Jun 11, 24 07:15 PM

    Worksheet on Adding Integers
    Practice the questions given in the worksheet on adding integers. We know that the sum of any two integers is always an integer. I. Add the following integers:

    Read More