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

• A. 30
• B. 45
• C. 15
• D. 28

Answer 1

The correct option is B 45

Volume of cuboidal box $=13\times 11\times 9$ cubic cm
= 1287 cubic cm.
Volume of cubical box = $12\times 12\times 12$
= 1728 cubic cm.
Total volume of both the above = 1287 + 1728 = 3015 cubic cm
Volume of each small cube = 1 cubic cm.
Hence total volume of 3060 such cubes = 3060 cubic cm.
Hence, the cubes remaining unpacked = 3060-3015 = 45 cubes.