Cubes can end with several digits, depending on their base number: 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512, 9³ = 729, 10³ = 1000. So, the possible cube endings are 0, 1, 4, 5, 6, 7, 8, 9. Cubes do not end in 2 or 3. For more NCERT Solutions for Class 8 MathemaRead more
Cubes can end with several digits, depending on their base number:
1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512, 9³ = 729, 10³ = 1000.
So, the possible cube endings are 0, 1, 4, 5, 6, 7, 8, 9.
Cubes do not end in 2 or 3.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
To estimate the number of unit cubes in a 4-unit cube, we calculate the cube of the side length. Volume = 4³ = 4 × 4 × 4 = 64 That means the cube is made up of 64 small cubes, each of 1 unit³. Each layer has 4 × 4 = 16 cubes and there are 4 such layers. So, the total number of unit cubes = 64.Read more
To estimate the number of unit cubes in a 4-unit cube, we calculate the cube of the side length.
Volume = 4³ = 4 × 4 × 4 = 64
That means the cube is made up of 64 small cubes, each of 1 unit³.
Each layer has 4 × 4 = 16 cubes and there are 4 such layers.
So, the total number of unit cubes = 64.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
To check if 9 is a cube, compare it with nearby cube numbers. 2³ = 8 3³ = 27 Since 9 lies between 8 and 27 but isn’t the cube of any whole number, it cannot be a cube. Also, its prime factorisation is 3 × 3 and we cannot group the factors in threes. So, 9 is not a cube. For more NCERT SolutioRead more
To check if 9 is a cube, compare it with nearby cube numbers.
2³ = 8
3³ = 27
Since 9 lies between 8 and 27 but isn’t the cube of any whole number, it cannot be a cube. Also, its prime factorisation is 3 × 3 and we cannot group the factors in threes. So, 9 is not a cube.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
The volume of a cube is side × side × side. For a cube with side 3 cm, Volume = 3³ = 27 cm³. Each small cube has volume 1 cm³. So, number of 1 cm³ cubes needed = Total volume ÷ 1 = 27 ÷ 1 = 27 cubes. Thus, 27 small cubes of 1 cm³ are required to form a 3 cm cube. For more NCERT Solutions forRead more
The volume of a cube is side × side × side. For a cube with side 3 cm,
Volume = 3³ = 27 cm³.
Each small cube has volume 1 cm³.
So, number of 1 cm³ cubes needed = Total volume ÷ 1 = 27 ÷ 1 = 27 cubes.
Thus, 27 small cubes of 1 cm³ are required to form a 3 cm cube.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
The total number of tiny squares in the image is 144, arranged in a 12 × 12 square. The prime factorisation of 144 is: 144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3² All exponents are even, so it confirms 144 is a perfect square. So, number of tiny squares = 144 Prime factorisation: 2⁴ × 3² Square root: 12Read more
The total number of tiny squares in the image is 144, arranged in a 12 × 12 square. The prime factorisation of 144 is:
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
All exponents are even, so it confirms 144 is a perfect square.
So, number of tiny squares = 144
Prime factorisation: 2⁴ × 3²
Square root: 12
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
We know that 0, 1, 4, 5, 6, 9 are the only last digits possible for squares. What are the possible last digits of cubes?
Cubes can end with several digits, depending on their base number: 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512, 9³ = 729, 10³ = 1000. So, the possible cube endings are 0, 1, 4, 5, 6, 7, 8, 9. Cubes do not end in 2 or 3. For more NCERT Solutions for Class 8 MathemaRead more
Cubes can end with several digits, depending on their base number:
1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512, 9³ = 729, 10³ = 1000.
So, the possible cube endings are 0, 1, 4, 5, 6, 7, 8, 9.
Cubes do not end in 2 or 3.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessCan you estimate the number of unit cubes in a cube with an edge length of 4 units?
To estimate the number of unit cubes in a 4-unit cube, we calculate the cube of the side length. Volume = 4³ = 4 × 4 × 4 = 64 That means the cube is made up of 64 small cubes, each of 1 unit³. Each layer has 4 × 4 = 16 cubes and there are 4 such layers. So, the total number of unit cubes = 64.Read more
To estimate the number of unit cubes in a 4-unit cube, we calculate the cube of the side length.
Volume = 4³ = 4 × 4 × 4 = 64
That means the cube is made up of 64 small cubes, each of 1 unit³.
Each layer has 4 × 4 = 16 cubes and there are 4 such layers.
So, the total number of unit cubes = 64.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessIs 9 a cube?
To check if 9 is a cube, compare it with nearby cube numbers. 2³ = 8 3³ = 27 Since 9 lies between 8 and 27 but isn’t the cube of any whole number, it cannot be a cube. Also, its prime factorisation is 3 × 3 and we cannot group the factors in threes. So, 9 is not a cube. For more NCERT SolutioRead more
To check if 9 is a cube, compare it with nearby cube numbers.
2³ = 8
3³ = 27
Since 9 lies between 8 and 27 but isn’t the cube of any whole number, it cannot be a cube. Also, its prime factorisation is 3 × 3 and we cannot group the factors in threes. So, 9 is not a cube.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessHow many cubes of side 1 cm will make a cube of side 3 cm?
The volume of a cube is side × side × side. For a cube with side 3 cm, Volume = 3³ = 27 cm³. Each small cube has volume 1 cm³. So, number of 1 cm³ cubes needed = Total volume ÷ 1 = 27 ÷ 1 = 27 cubes. Thus, 27 small cubes of 1 cm³ are required to form a 3 cm cube. For more NCERT Solutions forRead more
The volume of a cube is side × side × side. For a cube with side 3 cm,
Volume = 3³ = 27 cm³.
Each small cube has volume 1 cm³.
So, number of 1 cm³ cubes needed = Total volume ÷ 1 = 27 ÷ 1 = 27 cubes.
Thus, 27 small cubes of 1 cm³ are required to form a 3 cm cube.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessHow many tiny squares are there in the following picture? Write the prime factorisation of the number of tiny squares.
The total number of tiny squares in the image is 144, arranged in a 12 × 12 square. The prime factorisation of 144 is: 144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3² All exponents are even, so it confirms 144 is a perfect square. So, number of tiny squares = 144 Prime factorisation: 2⁴ × 3² Square root: 12Read more
The total number of tiny squares in the image is 144, arranged in a 12 × 12 square. The prime factorisation of 144 is:
144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
All exponents are even, so it confirms 144 is a perfect square.
So, number of tiny squares = 144
Prime factorisation: 2⁴ × 3²
Square root: 12
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See less