Cubes Relation with Cube Numbers

Q. The cube of a number is 8 times the cube of another number. If the sum of the cubes of numbers is 243, what is difference of the numbers ?

1. 4
2. 6
3. -6
4. 3

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

1. $x$
2. $x^2$
3. $x^3$
4. None of the above

Q. Shishir is making a cube of side 6 cm using cubes of sides 2 cm. How many such cubes are needed?

1. 9
2. 36
3. 27
4. 216

Q.

The volume of a cube of side $\frac{9}{2}$ cm in different forms is ______.

1. $\frac{729}{8}c{m}^3$
2. $\frac{343}{27}c{m}^3$
3. 91.125 $c{m}^3$
4. $\frac{729}{27}c{m}^3$

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.

How many cubes of side length 3 can be fit in a cuboid of dimension 3×6×9?

1. 2

2. 9

3. 10

4. 6

Q.

If one side of a cube is 13 meters then its volume is ________.

1. $2192m^3$

2. $2197m^3$

3. $2198m^3$

4. $169m^2$

Q.

The cube of average of 3 and 7 will also be the average of the of the cubes of 3 and 7.

1. False

2. True

Q. The cube of any number is a perfect cube if the number is a ________.

1. rational number
2. fractional number
3. irrational number
4. natural number

Q. If one edge of a cube measures 4 cm, the volume of the cube is:

1. 64 cc
2. 36 cc
3. 216 cc
4. 81 cc