Cubic Units





Cubic units is the topic in which we are going to see some of conversion.“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.In math we have lot of shapes like cylinder,cone, sphere,hemisphere ..........We have different formulas for finding volume for those shapes.For understanding this clearly let us take a real life example. Now take a book.The book is in the shape of cuboid.Measuring the weight of the book is nothing but the volume of the book.In industries the rods are in the shape of cylinder.Some time we will have combined shapes.Let us take a practical example a radius of the top of a bucket is 18 cm and that of bottom is 6 cm.Its depth is 24 cm.Find the capacity of the bucket.For this we need to find the volume of the bucket (or) frustum cone.We have to put cubic centimeter or cubic meter depending on the measurement given.

Capacity is generally measured in milliliters, liters, or kiloliters.In this below table all the conversion used in the topic volume.We hope this will be very useful to you.

We need to measure the below items using centimeters only

Amount of water in swimming pool

Amount of water in bucket

Cubic Units Used In Volume


100 square millimeters (mm²) = 1 square centimeter
1000 Cubic millimeters (mm³) = 1 Cubic centimeter
1000 Cubic centimeter (cm³) = 1 decimeter (or) liter
1000 cubic decimeters (dm³) = 1 cubic meter
1000 cubic meters (m ³) = 1 cubic meter
1000 decadecameteres (dam³) = 1 cubic hectometer
1000 cubic hectometer (hm³) = 1 cubic kilometer
1 cubic decimeter = 1 liter
1 cubic meter = 1000 liters
1 kiloliter = 1000 liters


Now let us look a piratical example to know the importance of this topic and conversion. (i) A cylindrical pillar is 3.5 m in radius.Find the volume painting is curved surface area.After solving the volume of the cylinder we have to put m³ for the answer.

(ii) A boy transferred 2 liter of juice into cylindrical shaped glasses. If each class is measuring 100 ml. Then find how many glasses of juice be available.

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By using the above table we can do many calculation in volume.

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