Cube of a Number

Q. Which of the following numbers is not a perfect cube?

1. 1331
2. 729
3. 625
4. 343

Q. Which of the following could be the cube of 17?

1. 3914
2. 1943
3. 4914
4. 4913

Q. How many cuboids of sides 6cm, 3cm and 3cm are needed to form a cube ?

Q.

$m^3$ $\ge$ $m^2$ . To satisfy this condition, $m$ can be

1. a positive integer

2. any number between 0 and 1
3. a negative integer
4. 4

Q. If the unit digit of a number is 3. What is the unit digit of its cube?

1. 9
2. 1
3. 3
4. 7

Q.

Express $7^3$ as a sum of 7 consecutive odd number.

1. 43, 45, 47, 49, 50, 53, 55

2. 43, 46, 47, 49, 51, 53, 55

3. 43, 45, 47, 49, 51, 53, 55

4. 43, 46, 47, 49, 51, 53, 55

Q.

Find the number of digits in 4²⁰¹³. If_{​​​​​} log_​​​10​​2 = 0.3010

Q.

Which of the following numbers is the cube of an even number?

1. 32768

2. 2197

3. 2058

4. 42875

Q. If the side of a cube is $x$, then its volume is ___.

1. $x^3$
2. $x$
3. $x^2$
4. $\sqrt[3]{3x}$

Q.

What is the units digit of the cube of a number whose unit digit is 7?

1. 5

2. 3

3. 4

4. 2

Q. If the units digit of any number is even, then the cube of the number is

1. even
2. odd
3. -1

Q.

The unit's digit in the cube of 2, 16, 20 is always _____.

1. 4096

2. 6859

3. 1331

4. 9261

Q.

The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.

1. 7260

2. 7240

3. 7000

4. 7280

Q. Alex needs ₹12a${}^3$b to buy a book. If he has ₹36a${}^3$b${}^2$, how many books can he buy?

Q. 25. Find the cube root of 4741632 by estimation.

Q. A cube has _____ edges.

1. 6
2. 8
3. 10
4. 12

Q. Difference of two perfect cubes is 189 . If the cube root of smaller of two numbers is 3 . Find the cube root of larger number

Q.

The unit's digit of the cube of the number 135825 is

1. 2

2. 5

3. 25

4. 1

Q. The sum of cubes of first five consecutive numbers starting from one is a perfect square of a number, then the number is .

1. 15
2. 12
3. 14
4. 13

Q.

A parallelogram has ______ vertices.

1. 3

2. 5

3. 4

4. 6

Q.

Solve: $3^3-2^3$

1. 19

2. 17

3. 15

4. 11

Q.

Express the following numbers as the sum of consecutive odd numbers:
(i) $8^3$ (ii) $7^3$

Q.

A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?

Q. If $x^2$ = 64, then the value of $x$ is only 8.

1. True
2. False

Q.

Suppose the perimeter of one face of a cube is 24 cm. What is its volume?

Q.

The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of ₹ 10 per square meter.

1. 7260

2. 7240

3. 7000

4. 7280

Q. Three numbers are in ratio 2 3 4. The sum of their cubes is 33957. Find the differencebetween largest and smallest number.

Q.

The volume of a given cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre. Find the cost incurred to paint its complete surface area.

1. 7000

2. 7260

3. 7240

4. 7280

Q.

Tom makes a cuboid of plasticine of sides 15cm, 30 cm, and 15cm.How many such cuboids will be required to form a cube?

Q. $(2.2{)}^3$ = _____.

1. 10.648
2. 10.78
3. 10.68
4. 10.758