alleryStart learning →The third power of 3 multiplies which factors?
- 3 × 3
- 3 + 3 + 3
- 3 × 3 × 3
- 3 × 3 + 3
Show answer and solution
Correct answer: C. 3 × 3 × 3
Cubing multiplies three instances of the number, so the cube is 3 times 3 times 3.
ICSE Class 8 Cubes And Cube Roots — practice questions
Explore 24 free Cubes And Cube Roots questions in ICSE Class 8 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–24 of 24.
The third power of 3 multiplies which factors?Read the answer and worked solution →216 = 2³ × 3³. Taking one factor from each triple gives ∛216 =?Read the answer and worked solution →A positive integer is a perfect cube when its prime exponents are?Read the answer and worked solution →72 = 2³ × 3². Least positive multiplier making a perfect cube?Read the answer and worked solution →864 = 2^5 × 3³. Least positive divisor leaving an integer cube?Read the answer and worked solution →Which set describes possible units digits of integer cubes?Read the answer and worked solution →A positive perfect cube ends in 3. Its integer cube root ends in?Read the answer and worked solution →For an odd integer n, n³ is always?Read the answer and worked solution →The integer whose cube is -125 equals?Read the answer and worked solution →How many distinct real cube roots does -8 have?Read the answer and worked solution →Which positive integer is both a perfect square and a perfect cube?Read the answer and worked solution →Which comparison of negative cubes is correct?Read the answer and worked solution →What is the gap between consecutive cubes 5³ and 4³?Read the answer and worked solution →Which five consecutive odd numbers sum to 5³?Read the answer and worked solution →Cube the sum of 1 and 2; separately add their cubes. Results?Read the answer and worked solution →How many times as large is ∛216 as ∛27?Read the answer and worked solution →A solid cube has volume 343 cm³. Its edge length?Read the answer and worked solution →216 cubes of edge 2 cm form one solid cube. Its edge?Read the answer and worked solution →How many 2 × 3 × 3 cm cuboids fill a solid 6 cm cube?Read the answer and worked solution →A cube's edge doubles. Its volume is multiplied by?Read the answer and worked solution →A cube equals a 2 × 4 × 8 cm cuboid in volume. Cube edge?Read the answer and worked solution →A solid 4 × 4 × 4 unit-cube stack is painted on all 6 faces. Unpainted cubes?Read the answer and worked solution →How many positive perfect cubes are at most 999?Read the answer and worked solution →For an integer n > 1, compare n³ and n².Read the answer and worked solution →
Worked practice questions
216 = 2³ × 3³. Taking one factor from each triple gives ∛216 =?
- 36
- 9
- 18
- 6
Show answer and solution
Correct answer: D. 6
One factor 2 and one factor 3 remain outside their respective triples, giving a cube root of 6.
A positive integer is a perfect cube when its prime exponents are?
- All odd numbers
- All multiples of 3
- All prime numbers
- All multiples of 2
Show answer and solution
Correct answer: B. All multiples of 3
Every prime's factors must be grouped completely into triples, making its exponent a multiple of three.
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