Question

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
1. 45
2. 15
3. 28
4. 30

Answer 1

Correct Answer - Option 1 : 45

Given:

Length of cuboidal box = 13 cm

Breadth of cuboidal box = 11 cm 

Hight of cuboidal box = 9 cm 

 A cubical box has side = 12 cm

Side of small cubical box = 1 cm

Tanu wants pack small cubes boxes = 3060

Formula required:

Volume of cuboidal box = length × breath × height

The volume of cube = side³

Calculations:

Volume of cuboidal box = 13 × 11 × 9

⇒ 1287 cm³

The volume of cube = 12 × 12 × 12 

⇒ 1728 cm³

Total volume of both the boxes (cube and cuboid) = 1287 + 1748

⇒ 3015 cm³

Samll cube volume = 1 × 1 × 1

⇒ 1 cm³

The number of small cubical boxes fit into both cubical cuboidal boxes = 3015/1

⇒ 3015

After 3015 fits in then, The number of the cubes left unpacked in these boxes = 3060 - 3015

⇒ 45

∴ The number of the cubes left unpacked in these boxes is 45