Leadership

Mathematics

Eight Standard

Test your understanding of this lesson Cube and cube roots | Part -1:-

1)
cube of 7 is
  • 49
  • 243
  • 343
  • 349
2)
cube of -\(\frac{5}{2}\) is
  • \(\frac{25}{2}\)
  • \(\frac{25}{4}\)
  • \(\frac{125}{8}\)
  • -\(\frac{125}{8}\)
3)
\(1^3+2^3=1+8=(1+2)^2, 1^3+2^3+3^3=1+8+27=(1+2+3)^2\) then \(1^3+2^3+3^3+4^3+5^3=\)
  • \((1+2+3+4)^3\)
  • \((1+2+3+4+5)^5\)
  • \((1+2+3+4+5)^3\)
  • \((1+2+3+4+5)^3\)
4)
If \(1^3=1,3+5=2^3\) then 13+15+17+19=
  • \(3^3=27\)
  • \(4^3=64\)
  • \(5^3=125\)
  • \(5^2=25\)
5)
\(2^{3}-1^{3}=1+3\times2\times1\) and \(3^{3}-2^{3}=1+3\times3\times2\), then \(5^{3}-4^{3}=\)
  • \(1+3\times3\times2\)
  • \(1+3\times5\times4\)
  • \(1+3\times4\times3 \)
  • \(1+2\times5\times4 \)
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