In the adjoining figure, ABC is a right angled triangle at B. A semicircle is drawn on AB as diameter. If AB = 12 cm and BC = 5 cm, then the area of the shaded region is

1. (60 + 18π) cm²

2. (30 + 36π) cm²

3. (30 + 18π) cm²

4. (30 + 9π) cm²

The perimeter of the shaded region shown in the below figure is

1. (30 + 6π) cm

2. (30 + 12π) cm

3. (18 + 12π) cm

4. (18 + 6π) cm

If the total surface area of a cube is 96 cm², then the volume of cube is

1. 8 cm³

2. 512 cm³

3. 64 cm³

4. 27 cm³

The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is

1. 15 m

2. 16 m

3. 10 m

4. 12 m