# A cuboidal box is 13 cm long, 11 cm broad and 9 cm high

A cuboidal box is 13 cm long, 11 cm broad and 9 cm high. A cubical box has side 12 cm. Tanu wants to pack 3060 cubes of side 1 cm in these boxes. The number of the cubes left unpacked in these boxes is

(a) 30

(b) 45

(c) 15

(d) 28

**Answer: (b) 45**

**Solution:-**

The length, breadth and of a cuboidal box = 13 cm, 11 cm and 9 cm

Then volume of cuboidal box = 13 x 11 x 9

= 1287 cm^3

The side of a cubical box = 12 cm

Then, the volume of the cubical box = 12 x 12 x 12

= 1728 cm^3

The number of 1 cm side of a box packed in cuboidal box = 1287

And the number 1 cm side of a box packed in cuboidal box = 1728

Total number of side of 1 cm cubes box = 3060

Then, the number of cubes left unpacked in those box = 3060 – (1287 + 1728)

= 3060 – 3015

= 45

Hence, the correct answer is option (b) 45.