8th Class Mathematics Cubes and Cube Roots Question Bank

done Cube and Cube Roots Total Questions - 30

• question_answer1)
  Find the unit digit in the cube of the number 3331.
  A)
   1 done clear
  B)
   8            done clear
  C)
   4                                 done clear
  D)
   9 done clear
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• question_answer2)
  The smallest number by which 2560 must be multiplied so that the product will be a perfect cube.
  A)
   35                                done clear
  B)
   2.5    done clear
  C)
   8                                 done clear
  D)
   5 done clear
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• question_answer3)
  The smallest number by which we must divide 4624 so that is becomes a perfect cube.
  A)
   2                                 done clear
  B)
   169           done clear
  C)
   4  done clear
  D)
   13 done clear
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• question_answer4)
  Find the value of \[\left[ \left( {{5}^{\mathbf{2}}}+\mathbf{1}{{\mathbf{2}}^{\mathbf{2}}} \right) \right]\]is given by
  A)
   2197   done clear
  B)
   169           done clear
  C)
   1693                            done clear
  D)
   289 done clear
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• question_answer5)
  Find the cube root of 42875.
  A)
   35   done clear
  B)
   25            done clear
  C)
   15                                done clear
  D)
   20 done clear
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• question_answer6)
  Find the least number by which 3087 must be multiplied to make it a perfect cube.
  A)
   3      done clear
  B)
   4            done clear
  C)
   9                                 done clear
  D)
   7 done clear
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• question_answer7)
  Find the cube root of \[\frac{-2197}{1331}\]
  A)
   \[\frac{-13}{11}\]    done clear
  B)
   \[\frac{13}{11}\]          done clear
  C)
   \[-\frac{13}{21}\]                      done clear
  D)
   \[-\frac{17}{21}\] done clear
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• question_answer8)
  Find the value of \[\sqrt[3]{\frac{0.027}{0.008}}-\sqrt{\frac{0.09}{0.04}}-1\]
  A)
   1                                 done clear
  B)
   \[-1\]  done clear
  C)
   0                                 done clear
  D)
   \[\frac{3}{2}\] done clear
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• question_answer9)
  Which one of the following is a perfect cube?
  A)
   1525                            done clear
  B)
   1728   done clear
  C)
   1458                            done clear
  D)
   3993 done clear
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• question_answer10)
  Which one of the following numbers is not a perfect cube?
  A)
   2197                            done clear
  B)
   512          done clear
  C)
   2916 done clear
  D)
   343 done clear
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• question_answer11)
  What is the least number by which 1565109 must be multiplied so that me product becomes a prefect cube?
  A)
   11                                done clear
  B)
   12           done clear
  C)
   13      done clear
  D)
   14 done clear
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• question_answer12)
  If \[\mathbf{y}=\sqrt[3]{2\frac{93}{125}}\], then find the value of y.
  A)
   \[\frac{7}{5}\]   done clear
  B)
   \[\frac{5}{7}\]           done clear
  C)
   \[\frac{33}{7}\]                         done clear
  D)
   \[\frac{13}{7}\] done clear
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• question_answer13)
  Find the value of \[\sqrt[3]{-\frac{1728}{274}}=\]
  A)
   \[-\frac{6}{11}\]                        done clear
  B)
   \[-\frac{6}{7}\]     done clear
  C)
   \[-\frac{3}{4}\]                         done clear
  D)
   \[-\frac{3}{7}\] done clear
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• question_answer14)
  Simplify : \[\sqrt[3]{64\times 729}=\]
  A)
   72                                done clear
  B)
   18           done clear
  C)
   36      done clear
  D)
   27 done clear
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• question_answer15)
  Find the smallest number by which 128625 must be divided so that the quotient will be a perfect cube.
  A)
   2                                 done clear
  B)
   3   done clear
  C)
   5                                 done clear
  D)
   6 done clear
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• question_answer16)
  Evaluate \[\sqrt[3]{27}+\sqrt[3]{0.008}+\sqrt[3]{0.064}\]
  A)
   6.3                               done clear
  B)
   3.64            done clear
  C)
   6.36                             done clear
  D)
   3.6 done clear
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• question_answer17)
  Three numbers are in the ratio to one another 2:3:4 and the sum of their cubes is 33957. What are the numbers?
  A)
   21, 14, 28                     done clear
  B)
   14, 21, 28 done clear
  C)
   28, 14, 21                     done clear
  D)
   27, 15, 14 done clear
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• question_answer18)
  Find the volume of cube whose surface area 216 m2.
  A)
   \[216\,{{m}^{3}}\] done clear
  B)
   \[200\,{{m}^{3}}\]        done clear
  C)
   \[210\,{{m}^{3}}\]                              done clear
  D)
   \[262\,{{m}^{3}}\] done clear
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• question_answer19)
  Find the value of \[\sqrt[3]{3.375}\]
  A)
   1.5 done clear
  B)
   2.5             done clear
  C)
   2                                 done clear
  D)
   3.5 done clear
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• question_answer20)
  Find the value of A if \[\sqrt[3]{500.A}=10\]
  A)
   1     done clear
  B)
   2    done clear
  C)
   3                                 done clear
  D)
   4 done clear
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• question_answer21)
  There are two numbers such that the sum of the numbers is 28 and their difference is 4. Find the difference of their cubes.
  A)
   2368 done clear
  B)
   1529          done clear
  C)
   2068                            done clear
  D)
   1638 done clear
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• question_answer22)
  If you subtract a number, x from 17 times that number, and then take the cube of the difference, what will be the result?
  A)
  \[1728\,{{x}^{3}}\]                              done clear
  B)
   \[4913\,{{x}^{3}}\] done clear
  C)
   \[4096\,{{x}^{3}}\] done clear
  D)
   \[5832\,{{x}^{3}}\] done clear
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• question_answer23)
  Solve, \[\sqrt[3]{27}+\sqrt[3]{125}\]
  A)
   8   done clear
  B)
   9             done clear
  C)
   10                                done clear
  D)
   12 done clear
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• question_answer24)
  A number n is called a perfect cube if there exists.
  A)
   a natural number m such that n \[=m\times m\] done clear
  B)
   a natural number m such that \[m=n\times m\times n\] done clear
  C)
   a natural number m such that \[n=m\times m\times m\] done clear
  D)
   a natural number m such that \[m=n+m+n\] done clear
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• question_answer25)
  What is the value of \[\sqrt[3]{\frac{-56}{875}}\]
  A)
   \[-\frac{7}{2}\]                         done clear
  B)
   \[-\frac{7}{5}\]            done clear
  C)
   \[-\frac{2}{5}\]   done clear
  D)
   \[-\frac{2}{7}\] done clear
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• question_answer26)
  A cubical box has all sides of 26 m. Its volume will be
  A)
   \[14626\,{{m}^{3}}\]                   done clear
  B)
   \[19726\,{{m}^{3}}\] done clear
  C)
   \[12645\,{{m}^{3}}\]                   done clear
  D)
   \[17576\,{{m}^{3}}\] done clear
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• question_answer27)
  Some Bananas are packed into a box in stacks. Each stack has the same number of bananas in each row as the number of rows. The number of stacks is also the same as the number of rows. If there are 58 stacks of bananas in the box and no of stacks = no of bananas in each row. What is the total number of bananas in the box?
  A)
   196687                         done clear
  B)
   194817        done clear
  C)
   195112       done clear
  D)
   195437 done clear
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• question_answer28)
  If you have a container in the shape of a cube that has a volume of 68921m3, then the area of each of the faces of the cube is
  A)
   1931                            done clear
  B)
   1681       done clear
  C)
   1729                            done clear
  D)
   1487 done clear
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• question_answer29)
  Find the value of \[\sqrt[3]{-9261}\]
  A)
   -21 done clear
  B)
   -31            done clear
  C)
   -11                               done clear
  D)
  -41 done clear
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• question_answer30)
  Find the value of \[\sqrt[3]{(-125)\times (-3375)}\]
  A)
   75   done clear
  B)
   72            done clear
  C)
   77                                done clear
  D)
   79 done clear
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