Volume

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.

Volume.

Units of Volume

Cube.

Cuboid.

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. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  2. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  3. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Apr 03, 25 10:22 AM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Before and After Video | Math Worksheets on Number | Before and After

    Apr 03, 25 12:44 AM

    before and after number worksheet
    Free math worksheets on numbers before and after help the kids to check how much they are good at numbers. The purpose of this math activity is to help your child to say a number in order and also hel

    Read More