help please math cube and cube root class 8
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Ans1. since 3 × 5 × 7 × 11 are unpaired 259875 should be divided by 3 × 5 × 7 × 11 we get.
pairs for cube root = 3 × 5.
since 7 is unpaired so 259875 should be divided by 7 to get a perfect cube 259875 / 7 = 37125.
and the cube root of 37125 is 33.359
Ans2. Side of a cube = a
volume = a^3 = 21952m^3
a = 3√21952
a = 28
Ans3. Let the numbers be 4x and 5x.
(5x)^3-(4x)^3 = 61
=> (125)x^3-(64)x^3=61
=> (61)x^3=61
=> (x)^3=61/61
=> (x)^3=1
=> x=1
Since the numbers we have taken are 4x and 5x,
So,
4*x = 4*1 = 4.
5*x = 5*1 = 5.
Hence the required numbers are 4 and 5.
Ans4. in the upper
Ans5. The cube root of 19.683 is 2.7 because 2.7 × 2.7 × 2.7 = 19.683.
hope it hels you thanks
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