Subscribe to our YouTube channel for the latest videos, updates, and tips.


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. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More