If the length of each side of a cube is reduced by 50%, then the ratio of the total surface area of the original and the new cube is :

1. 2 : 1

2. 4 : 1

3. 8 : 1

4. 8 : 3

The length and the breadth of a cuboid are 60 cm and 50 cm respectively. If the total surface area of the cuboid is 14800 cm², then its height is :

1. 40 cm

2. 32 cm

3. 25 cm

4. 30 cm

The length of the diagonal of a cube is $16\sqrt{3} \text{ m}$. The volume of the cube is :

1. 4096 m³

2. 4196 m³

3. 3146 m³

4. 4036 m³

The total surface area of a cube is 96 cm². The length of a diagonal of the cube is :

1. 16 cm

2. $8\sqrt{3}$ cm

3. $6\sqrt{3}$ cm

4. $4\sqrt{3}$ cm