# What will be the Number of Cubes? If

The internal base of a rectangular box is 15 cm long and 12.5 cm wide and its height is 7.5 cm. The box is filled with cubes each of side 2.5 cm. The number of cubes will be

- 90
- 120
- 45
- 60

**Answer: (1) 90**

**Explanation:-
**The length of the box = 15 cm

The width of the box = 25/2 cm = 12.5 cm

The height of the box = 15/2 cm = 7.5 cm

**Formula-
The volume of the rectangular box = length x width x height**

Then, the volume of the given box = 15 x 12.5 x 7.5

= 1406.25 cm^{3}

The side of the cube = 5/2 = 2.5 cm

The volume of the cube = (2.5)^{3}

= 2.5 x 2.5 x 2.5 = 15.625 cm^{3}

The number of the cubes filled in the rectangular box = 1406.25/15.625

= 90 boxes

Hence, the answer is (1) 90.