A cardboard sheet of size 60 cm × 60 cm is used to make hollow cubes having sides of 5 cm. What is the maximum number of cubes that can be made?

Correct option is A

Given:

1. Size of the cardboard sheet = 60 cm × 60 cm

Total area of the sheet = 60 × 60 = 3600 cm²

2. Side length of the hollow cube = 5 cm

Surface area of one cube = 6 × (side)² = 6 × 5² = 150 cm²

Formula Used:

The maximum number of cubes that can be made is:

$$\text{Number of cubes} = \frac{\text{Total area of sheet}}{\text{Surface area of one cube}}$$​​

Solution:

1. Calculate the total area of the cardboard sheet:

Total area = 60 × 60 = 3600 cm²

2. Calculate the surface area of one hollow cube:

Surface area of one cube = 6 × 5² = 6 × 25 = 150 cm²

3. Find the number of cubes:

Number of cubes = Total area of sheet / Surface area of one cube

Number of cubes = 3600 / 150 = 24

Final Answer:

The maximum number of cubes that can be made is 24.

Correct Option: (a) 24