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.