#### Chapters

Chapter 2 - Linear Equations in One Variable

Chapter 3 - Understanding Quadrilaterals

Chapter 4 - Practical Geometry

Chapter 5 - Data Handling

Chapter 6 - Squares and Square Roots

Chapter 7 - Cubes and Cube Roots

Chapter 8 - Comparing Quantities

Chapter 9 - Algebraic Expressions and Identities

Chapter 10 - Visualising Solid Shapes

Chapter 11 - Mensuration

Chapter 12 - Exponents and Powers

Chapter 13 - Direct and Inverse Proportions

Chapter 14 - Factorisation

Chapter 15 - Introduction to Graphs

Chapter 16 - Playing with Numbers

## Chapter 7 - Cubes and Cube Roots

#### Page 114

The following numbers are not perfect cubes?

216

The following numbers are not perfect cubes?

128

The following numbers are not perfect cubes?

1000

The following numbers are not perfect cubes?

100

Which of the following numbers are notperfect cubes?

46656

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

243

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

256

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

72

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

675

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

100

Find the smallest number by which the following number must be divided to obtain a perfect cube.

81

Find the smallest number by which the following number must be divided to obtain a perfect cube.

128

Find the smallest number by which the following number must be divided to obtain a perfect cube.

135

Find the smallest number by which the following number must be divided to obtain a perfect cube.

192

Find the smallest number by which the following number must be divided to obtain a perfect cube.

704

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

#### Page 116

Find the cube root of the following numbers by prime factorisation method.

91125

Find the cube root of the following numbers by prime factorisation method.

64

Find the cube root of the following numbers by prime factorisation method.

512

Find the cube root of the following numbers by prime factorisation method.

10648

Find the cube root of the following numbers by prime factorisation method.

27000

Find the cube root of the following numbers by prime factorisation method.

15625

Find the cube root of the following numbers by prime factorisation method.

13824

Find the cube root of the following numbers by prime factorisation method.

110592

Find the cube root of the following numbers by prime factorisation method.

46656

Find the cube root of the following numbers by prime factorisation method.

175616

State true or false.

Cube of any odd number is even.

State true or false.

A perfect cube does not end with two zeroes.

State true or false.

If square of a number ends with 5, then its cube ends with 25.

State true or false

There is no perfect cube which ends with 8.

State true or false.

The cube of a two digit number may be a three digit number.

State true or false.

The cube of a two digit number may have seven or more digits.

State true or false.

The cube of a single digit number may be a single digit number.

You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768