# Mathematics-Cube and Cube Roots [NSTSE (National Science Talent Search Exam- Unified Council) Class 8]: Questions 1 - 10 of 64

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## Question 1

### Question

MCQ▾If 225K is a perfect cube, then the value of K is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3 | |

b. | 5 | |

c. | 15 | |

d. | 14 |

## Question 2

### Question

MCQ▾If , the least value of ‘a’ is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 6 | |

b. | 3 | |

c. | 9 | |

d. | Question does not provide sufficient data or is vague |

## Question 3

### Question

MCQ▾The cube of a number is 64 times the cube of another number. If the sum of the cubes of numbers is 8125, the difference of the numbers is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 15 | |

b. | 20 | |

c. | 12 | |

d. | 5 |

## Question 4

### Question

MCQ▾The radius of a sphere is 2.1 m. Its volume is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 38.808 | |

b. | 38.808 | |

c. | 38.808 cu m | |

d. | 38.808 cu cm |

## Question 5

### Question

MCQ▾Given that 729 = and 4.096 = , find the value of .

### Choices

Choice (4) | Response | |
---|---|---|

a. | 14.4 | |

b. | 14 | |

c. | 4.8 | |

d. | 27.5 |

## Question 6

## Question 7

## Question 8

### Question

MCQ▾If 196K is a perfect cube, then the value of K is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 5 | |

b. | 6 | |

c. | 14 | |

d. | 7 |

## Question 9

### Question

MCQ▾The length of each side of a cubical box is 3.2 cm. Its volume is:

### Choices

Choice (4) | Response | |
---|---|---|

a. | 32.77 | |

b. | 32.77 cu m | |

c. | 32.77 cu cm | |

d. | 32.77 |