Introduction
Chapter Name : Cubes And Cube Roots |
Sub Topic Code : 104_08_07_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
What is a cube number?
Pre-Requisites:
Basic knowledge about arithmetic operations, numbers, cubes
Activity:
The cube of a number is found by multiplying the number with itself twice.
Real Life Question:
What is the capacity of your overhead tank?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Cube number | A number when multiplied by its square number results in its cube number? |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Abacus | As used in the method for finding the square of a number, this time use the abacus to multiply the number with itself twice. |
Real life uses :
Volume estimation, height estimation in a cuboid, toys, electrical resistance, induction instruments
Practical examples around us
| Examples | Explainations |
|---|---|
| Overhead tanks | The volume of a tank is a cubic unit. For a cube tank, the volume will be the cube of the side. |
| Rubber band toys | The rubber band planes whose propeller is twisted first and rotates when left uses the cubic equations. |
What you learn in Theory:
The cube of a number is the product of the number with its square. They are used to express numbers in sums of cubes. Hardy-ramanujan numbers are numbers that are cubes formed by the sum of two more cubes.
What you learn in Practice:
The cube number is found by multiplying a number with the same number on the abacus two times. On first multiplication we obtain the square of the number. When the square of the number is multiplied by the number again, we obtain the cube number.