Case Study
The length, breadth and height of Kavita's bedroom are 6 m, 4 m and 3 m respectively. It has two equal windows, each of dimensions 1 m × 0.5 m. It also has a door of dimensions 2 m × 1 m.

Based on the above information, answer the following questions:

1. Area occupied by the door and the two windows is :
   (a) 1 m²
   (b) 2 m²
   (c) 2.5 m²
   (d) 3 m²

2. Kavita wants to whitewash the four walls of the room. Area to be whitewashed is :
   (a) 60 m²
   (b) 57 m²
   (c) 55 m²
   (d) 50 m²

3. Square tiles each of side 50 cm are laid on the floor of the room. The number of such tiles laid is :
   (a) 100
   (b) 98
   (c) 96
   (d) 72

4. Volume of air contained in the room is :
   (a) 72 m³
   (b) 70 m³
   (c) 60 m³
   (d) 52 m³

5. The length of the longest rod (to the nearest m) that can be placed in the room is :
   (a) 4 m
   (b) 5 m
   (c) 8 m
   (d) 7 m

Case Study
Manish is a carpenter. One day, he made an open cubical box of internal edge 18 cm. The thickness of the plywood is 1 cm. He painted the inner surface of the box black and the outer lateral surfaces as green.

Based on the above information, answer the following questions:

1. Total area to be painted black is :
   (a) 1600 cm²
   (b) 1620 cm²
   (c) 1650 cm²
   (d) 1680 cm²

2. Length of the outer edge of the box is :
   (a) 20 cm
   (b) 19 cm
   (c) 18 cm
   (d) 18.5 cm

3. Total outer lateral surface area to be painted green is :
   (a) 1500 cm²
   (b) 1510 cm²
   (c) 1520 cm²
   (d) 1600 cm²

4. Total outer surface area of the box (excluding the top) is :
   (a) 1900 cm²
   (b) 1920 cm²
   (c) 2000 cm²
   (d) 2320 cm²

5. Length of the longest rod that can fit inside the box is :
   (a) 18 cm
   (b) 19 cm
   (c) 20 cm
   (d) 3 cm

Assertion (A) : The perimeter of one face of a cube is 20 cm. Its volume is 64 cm³.

Reason (R) : Volume of a cube of edge a is given by a³.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

The area of a base of a cuboidal water tank is 6500 cm² and the volume of water contained in it is 2.6 m³. The depth of the water is :

1. 5 m

2. 4 m

3. 3.5 m

4. 3 m