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Cube. Cube. We know that the word ‘CUBE’ is used in geometry. A cube is a solid figure which has all its sides are equal.
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Cube We know that the word ‘CUBE’ is used in geometry. A cube is a solid figure which has all its sides are equal. If the side of a cube in the adjoining figure is “a” units, then its volume is given by a x a x a = a3 cubic units. Here a3 is called “a cubed” or “a raised to the power three” or “a to the power 3”.
What are cube numbers? A cube number is a number that is the product of three numbers which are the same This diagram makes this concept clearer:
When we cube 5 we get 125 5 x 5 x 5 25 x 5 125 When we cube -5 we get -125 -5 x -5 x -5 25 x -5 -125 You can also have negative cube numbers Have a look at this: We know that - x - = + We know that + x - = - Note : When an negative number is multiplied by itself an even number of times, the product is positive When an negative number is multiplied by itself an odd number of times, the product is negative
Cube Numbers upto 15 (to be by hearted) Numbers Cube Numbers Cube 11 1331 1 1 12 1728 2 8 13 2197 3 27 14 2744 4 64 15 3375 5 125 16 4096 6 216 17 4913 7 343 18 5832 8 512 19 6859 9 729 20 8000 10 1000
Try These Find the value of the following (i) 43 (ii) (-9)3 (iii)