EASY
8th CBSE
IMPORTANT
Earn 100

number can be expressed as a sum of two cubes in two different ways. (Hardy Ramanujan / Aryabhatta)

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Important Questions on Cubes and Cube Roots

EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 1
Number of cubes of side 1 cm which make a cube of side 3 cm, is _____
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 1
Cube of an even number is also an _____ number.
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 3
4104 and 13832 are Hardy-Ramanujan numbers_____.
MEDIUM
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 3
13832=5832+8000=183+203, state the given expression is true or false.
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 3
Each prime factor appears three times in its cubes _____.
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 3
In prime factorization of any number, if each factor appears three times, then the number is not a perfect cube.
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 3
Prime factorization of 600 is 2×2×2×3×5×5, in which 3×5×5 remains after grouping the 2's in triplets, so 600 is a perfect cube_____.
EASY
8th CBSE
IMPORTANT
NCERT Practice Workbook Mathematics>Chapter 7 - Cubes and Cube Roots>Worksheet 1>Q 4
By which smallest number 169 must be multiplied to make a perfect cube _____.