Question

I.Answer any five questions: 5 x 5 = 25 marks

1.Write cubes of all natural numbers from 1 and 20 and verify the following statements.
I)Cubes of all odd natural numbers are odd.
II)Cubes of all even natural numbers are even.
Answer :
1 3 =1
2 3 =8
3 3 =27
4 3 =64
5 3 =125 so on. Assume a general even number to be of the form 2n where n is a whole number.This is true for all even numbers, by definition are divisible by 2.
Cube of a general even number= 2n×2n×2n=8n This number 8n is again divisible by 2 .So cube of an even natural number is even.

2.Karan has made a cuboid out of plasticine,whose length,breadth and height is 5 cm, 2 cm and 10 cm,respectively.How many such cuboids will Karan need to make a perfect cube ?
Answer : Karan has made a cuboid out of plasticine,whose length,breadth and height is 5 cm, 2 cm ... - did not match any news results.

3.Is 3087 a perfect cube ? If not, find the smallest number by which it should be multiplied to get a perfect cube.Also,find the cube root of the number thus obtained.
Three numbers are in the ratio of 2:3:5.If the sum of their cubes is1280, find the three numbers.
Answer :
4.You are told that 1728 is a perfect cube.Can you guess without factorisation what is its cube root? Similarly, guess the cube root of 35937.

Answer 1

Answer:

Socratic app

Step-by-step explanation:

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