Cubes

IMPORTANT

Cubes: Overview

This topic covers concepts, such as, Cube of a Positive Integer, Perfect Cube, Properties of Cube of a Positive Integer, Unit Digit in Cube of a Number, Cube of Odd and Even Numbers, Sign of the Cube of an Integer & Cube of Rational Numbers etc.

Important Questions on Cubes

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Number of digits in the cube of a two-digit number may be _____.

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99 cube how much.

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The value of -23 is 8

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Find the value of the following:

103-1253

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Find the value of the following:

33+7293

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Find the value of the following:

83-53

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Find the cube of -13

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Find the cube of -11112

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By which smallest must 675 be divided so that the quotient is a perfect cube?

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Writing 125 in exponential notation of base 5  gives 5k then what will be the value of k?

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What is the smallest perfect cube natural number?

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If the volume of a cube whose side is 25 cm is k cm3, then find the value of k.

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In a zoo, a tiger is kept in a 4.1 m×4.1 m×4.1 m enclosure. Find the value of k in decimal form up to three decimal places, if volume of the enclosure is k m3.

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Find the smallest number by which 243 must be multiplied to obtain a perfect cube.

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A number when divided by 9 gives the perfect cube of 6 and when multiplied by 3 gives another perfect cube of 18. What is the number?

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What is the smallest perfect cube of three digits?

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If the standard form of the cube of -711 is -ab, then find the value of a+b.

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Deepiksha has a cuboid of sides 15 cm30 cm and 15 cm. How many such cuboids will she need to form a cube?( write the final answer in numerals)

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Evaluate 152+823.

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Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, find the cube root of the large number.