Show that \ 1331 is a perfect cube. What is the number whose cube is \ 1331 ?
Can you hear your own words if you are standing in a perfect vacuum ? Can you hear your, friend in the same conditions ?
A particle executes simple harmonic motion. If you are told that its veocity at this instant is Zero can you say what is its displacement? If you are told that its velocity at this instant is maximum, can you say what is its displacement?
Multiply 210125 by the smallest number so that the product is a perfect cube. Also find out the cube root of the product.
Write true (T) or false (F) for the following statements: 392 is a perfect cube. 8640 is not a perfect cube. No cube can end with exactly two zeros. There is no perfect cube which ends in 4. For an integer a, a^3 is always greater than a^2dot If a\ a n d\ b are integers such that a^2> b^2, t h e n\ a^3> b^3dot If a divides b , then a^3 divides b^3dot If a^2 ends in 9, then a^3 ends in 7 If a^2 ends in 5, then a^3 ends in 25. If a^2 ends in an even number of zeros, then ends in and odd number zeros.
Find the cube root of 13824 by prime factorisation method.
Is 216 a perfect cube? What is that number whose cube is 216?
using the method of successive subtraction examine whether or not the following numbers are perfect cube (i) 130 (ii) 345 (iii) 792 (iv) 1331 Find the smallest number that must be subtracted from those of the numbers in above question which are not perfect cubes, to make them perfect cubes. What are the corresponding cube roots?
Can you find the mass of sun without weighing?
What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also find the cube root of the quotient so obtained.
