8th Class Mathematics Cubes and Cube Roots Question Bank

done Cubes and Cube Roots Total Questions - 40

• question_answer1)
  If \[72K\] is a perfect cube, find the value of K.
  A)
   \[1\]                                     done clear
  B)
                          \[2\]                     done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[4\]                     done clear
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• question_answer2)
  If a; b; c and d are consecutive natural numbers and \[{{a}^{3}}={{b}^{3}}+{{c}^{3}}+{{d}^{3}},\]what is the least value of 'a'?
  A)
   \[6\]                                     done clear
  B)
                          \[9\]                     done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[12\] done clear
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• question_answer3)
  Find the number which is not a perfect cube among the following.
  A)
   \[1331\]                              done clear
  B)
                          \[216\]                 done clear
  C)
                          \[243\]                                 done clear
  D)
                          \[512\]                 done clear
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• question_answer4)
  What is the smallest number by which 2560 must be multiplied so that the product is a perfect cube?
  A)
   \[5\]                                     done clear
  B)
                          \[25\]                   done clear
  C)
                          \[10\]                                                   done clear
  D)
                          \[15\]   done clear
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• question_answer5)
  Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.
  A)
   \[4\]                                     done clear
  B)
                          \[12\]                                   done clear
  C)
                          \[16\]                                                   done clear
  D)
                          \[32\]                   done clear
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• question_answer6)
  What is the cube root of \[1.331\]?
  A)
   \[0.11\]                               done clear
  B)
                          \[0.011\]                             done clear
  C)
                          \[11\]                                   done clear
  D)
                          \[1.1\] done clear
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• question_answer7)
  Find the value of \[\sqrt[3]{343}\times \sqrt[3]{-64}\].
  A)
   \[28\]                                   done clear
  B)
                          \[-28\]                 done clear
  C)
                          \[18\]                                                   done clear
  D)
                          \[-18\]                 done clear
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• question_answer8)
  The length of each side of a cubical box is\[2.4\text{ }m\]. What is its volume?
  A)
   \[13.824\text{ }cu\,\,m\] done clear
  B)
                          \[13.824\text{ }cu\text{ }cm\] done clear
  C)
                          \[13.824\,\,{{m}^{2}}\]    done clear
  D)
                          \[13.824\,\,c{{m}^{2}}\] done clear
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• question_answer9)
  The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, what is difference of the numbers?
  A)
   \[3\]                                     done clear
  B)
                          \[4\]                     done clear
  C)
                          \[6\]                                     done clear
  D)
                          \[-6\]                    done clear
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• question_answer10)
  The difference of the cube and the square of a natural number is 48. Find the number.
  A)
   \[6\]                                     done clear
  B)
                          \[5\]    done clear
  C)
                          \[4\]                                     done clear
  D)
                          \[8\]                     done clear
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• question_answer11)
  Which of the following numbers is a perfect cube?
  A)
   \[108\]                                 done clear
  B)
                          \[343\]                 done clear
  C)
                          \[243\]                                 done clear
  D)
                          \[5324\]                              done clear
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• question_answer12)
  Which of the following is the cube of an even natural number?
  A)
   \[729\]                                 done clear
  B)
                          \[3375\]              done clear
  C)
                          \[1331\]                              done clear
  D)
                          \[13824\]                            done clear
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• question_answer13)
  Find the cube root of\[0.001728\].
  A)
   \[0.12\]                               done clear
  B)
                          \[1.2\]                  done clear
  C)
                          \[12\]                                   done clear
  D)
                          \[2.6\]  done clear
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• question_answer14)
  Evaluate \[\sqrt[3]{-2744}\div \sqrt[3]{0.008}\].
  A)
   \[70\]                                   done clear
  B)
                          \[-70\]                 done clear
  C)
                          \[14\]                                   done clear
  D)
                          \[-14\] done clear
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• question_answer15)
  Identify the digit in the units place of \[\sqrt[3]{21952}\]
  A)
   \[8\]                                     done clear
  B)
                          \[4\]                     done clear
  C)
                          \[6\]                                     done clear
  D)
                          \[7\]                     done clear
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• question_answer16)
  The quotient of the cube root of a number and 25 is 5. Identify the number.
  A)
   \[{{5}^{3}}\]                                      done clear
  B)
                          \[{{25}^{3}}\]                                    done clear
  C)
                          \[{{125}^{2}}\]                                  done clear
  D)
                          \[{{125}^{3}}\]  done clear
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• question_answer17)
  The product \[864\times n\] is a perfect cube. What is the smallest possible value of 'n'?
  A)
   \[2\]                                     done clear
  B)
                          \[1\]                     done clear
  C)
                          \[4\]                                     done clear
  D)
                          \[3\] done clear
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• question_answer18)
  Find the units place in the cube of 126.
  A)
   \[4\]                                     done clear
  B)
                          \[6\]                     done clear
  C)
                          \[8\]                                     done clear
  D)
                          \[1\]                     done clear
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• question_answer19)
  Find the value of \[\sqrt[3]{0.000216}\].
  A)
   \[0.006\]                             done clear
  B)
                          \[0.6\]                  done clear
  C)
                          \[0.36\]                               done clear
  D)
                          \[0.06\] done clear
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• question_answer20)
  Find the value of \[\sqrt{\sqrt[3]{0.000064}}\].
  A)
   \[0.2\]                                  done clear
  B)
                          \[0.02\]                               done clear
  C)
                          \[0.002\]                             done clear
  D)
                          \[0.04\]                               done clear
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• question_answer21)
  If \[P=\sqrt[3]{\sqrt[3]{{{a}^{9}}}},\]what is the value of p?
  A)
   \[{{\left( {{a}^{3}} \right)}^{3}}\]                              done clear
  B)
                          \[{{a}^{3}}\]                      done clear
  C)
                          \[{{a}^{9}}\]                                      done clear
  D)
                          a done clear
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• question_answer22)
  By which number should 5184 be divided to make it a perfect cube?
  A)
   \[2\]                                     done clear
  B)
                          \[4\]                     done clear
  C)
                          \[3\]                                     done clear
  D)
                          \[6\] done clear
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• question_answer23)
  The cube root of a number when divided by 7 results in 49. Identify the number.
  A)
   \[{{343}^{3}}\]                  done clear
  B)
                          \[{{33}^{3}}\]                    done clear
  C)
                          \[{{43}^{3}}\]                    done clear
  D)
                          \[{{343}^{7}}\] done clear
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• question_answer24)
  Evaluate \[\sqrt[3]{\frac{343\times 125}{0.064}}\].
  A)
   \[875\]                                 done clear
  B)
                          \[8.75\]               done clear
  C)
                          \[807.5\]                             done clear
  D)
                          \[87.5\] done clear
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• question_answer25)
  A metallic cuboid with dimensions \[16\text{ }cm\times 8\text{ }cm\times 4\text{ }cm\] was melted and recast into a cube. What is the length of the edge of the cube?
  A)
   \[8\,cm\]                            done clear
  B)
                          \[2\,cm\]                            done clear
  C)
                          \[4\,cm\]                            done clear
  D)
                          \[16\,cm\]                          done clear
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• question_answer26)
  What is the volume of a cube of edge\[15\,cm\]?
  A)
   \[15625\text{ }c{{m}^{3}}\]        done clear
  B)
                          \[3.375\,\,c{{m}^{3}}\]                 done clear
  C)
                          \[3375\,c{{m}^{3}}\]                      done clear
  D)
                          \[225\text{ }c{{m}^{3}}\]                             done clear
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• question_answer27)
  The volume of liquid in a measuring jar is\[200\text{ }c{{m}^{3}}\]. A cube of side \[7\text{ }cm\] is immersed in the liquid. What is the reading on the measuring jar?
  A)
   \[800\,c{{m}^{3}}\]                        done clear
  B)
                          \[543\,c{{m}^{3}}\]                        done clear
  C)
                          \[643\,c{{m}^{3}}\]                        done clear
  D)
                          \[843\text{ }c{{m}^{3}}\] done clear
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• question_answer28)
  The volume of material used to make a cube is\[4913\text{ }c{{m}^{3}}\]. What is the length of the edge of the cube?
  A)
   \[16\text{ }cm\]                              done clear
  B)
                          \[27\,cm\]                          done clear
  C)
                          \[18\,cm\]                          done clear
  D)
                          \[17\,cm\] done clear
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• question_answer29)
  A tank holds 27000 litres of water. How many litres of water would a similar pond hold, if its dimensions were double the first one?
  A)
   \[17286\text{ }litres\]    done clear
  B)
                          \[216000\text{ }litres\] done clear
  C)
                          \[15625\text{ }litres\]    done clear
  D)
                          \[432000\text{ }litres\] done clear
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• question_answer30)
  A cubic wooden block has an edge of\[0.21\text{ }m\].What is its volume?
  A)
   \[9261\text{ }c{{m}^{3}}\]                           done clear
  B)
                          \[926.1\text{ }{{m}^{3}}\]           done clear
  C)
                          \[92.61\text{ }c{{m}^{3}}\]         done clear
  D)
                          \[92.61\text{ }{{m}^{3}}\]                           done clear
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• question_answer31)
  A cube is made of \[24389\text{ }c{{m}^{3}}\]of wood. What is the measure of its edge?
  A)
   \[39\text{ }cm\]                              done clear
  B)
                          \[29\text{ }cm\]                              done clear
  C)
                          \[2.9\text{ }cm\]                             done clear
  D)
                          \[19\text{ }cm\]                              done clear
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• question_answer32)
  A water tank holds \[79507\text{ }c{{m}^{3}}\]of water. What is the measure of its edge?
  A)
   \[23\text{ }cm\]                              done clear
  B)
                          \[33\text{ }cm\]                              done clear
  C)
                          \[43\text{ }cm\]                              done clear
  D)
                          \[38\text{ }cm\] done clear
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• question_answer33)
  A wooden cuboid is \[24\text{ }cm\] by \[30\text{ }cm\] by \[36\text{ }cm\]  8 cubes of equal sides are cut off from the 8 corners of the cuboid. The volume of the remaining block is\[20088\text{ }c{{m}^{3}}\]. What is the length of the edge of each cube?
  A)
   \[6\,cm\]                            done clear
  B)
                          \[9\,cm\]                            done clear
  C)
                          \[1\,cm\]                            done clear
  D)
                          \[7\,cm\] done clear
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• question_answer34)
  Find the value of \[\sqrt[3]{0.125}+3\].
  A)
   \[8\]                                     done clear
  B)
                          \[3.5\]                                  done clear
  C)
                          \[2\]                                     done clear
  D)
                          \[0.35\]                               done clear
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• question_answer35)
  If \[x=\sqrt[3]{-3\frac{3}{8}},\].find the value of ?x'.
  A)
   \[\frac{3}{2}\]                                   done clear
  B)
                          \[\frac{3}{4}\]                   done clear
  C)
                          \[-\frac{3}{4}\]                                 done clear
  D)
                          \[-\frac{3}{2}\] done clear
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• question_answer36)
  Find the value of \[\sqrt[3]{\frac{-192}{81}}.\]
  A)
   \[-\frac{5}{3}\]                                 done clear
  B)
                          \[\frac{-4}{3}\]                 done clear
  C)
                          \[\frac{3}{2}\]                                   done clear
  D)
                          \[\frac{13}{9}\] done clear
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• question_answer37)
  What is the value of \[\sqrt[3]{216}\]?
  A)
   Less than 6. done clear
  B)
                          Greater than 6. done clear
  C)
                          Equal to 6. done clear
  D)
                          Equal to 9. done clear
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• question_answer38)
  Given that \[512={{8}^{3}}\]and \[3.375={{1.5}^{3}},\]find the value of \[\sqrt[3]{512}\times \sqrt[3]{3.375}.\]
  A)
   \[12\]                                   done clear
  B)
                          \[9.5\]                  done clear
  C)
                          \[8\]                                     done clear
  D)
                          \[1.5\] done clear
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• question_answer39)
  Given that \[\sqrt[3]{x}=-6,\]. Find the value of V.
  A)
   \[216\]                                 done clear
  B)
                          \[18\]                                                   done clear
  C)
                                          \[-18\]                 done clear
  D)
                          \[-216\]                               done clear
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• question_answer40)
  The length of each edge of a cube is\[9\text{ }m\]. Find the volume of the cube.
  A)
   \[27\text{ }{{m}^{3}}\]                                 done clear
  B)
                          \[81\text{ }{{m}^{3}}\]                                 done clear
  C)
                          \[108\,\,{{m}^{3}}\]                                       done clear
  D)
                           \[729\,\,{{m}^{3}}\] done clear
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