Cube and Cuboid 1
Practice and master this topic with our carefully crafted questions.
The following questions are based on the information given below:
1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
2. Two faces measuring 4 cm x 1 cm are coloured in black.
3. Two faces measuring 6 cm x 1 cm are coloured in red.
4. Two faces measuring 6 cm x 4 cm are coloured in green.
5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).
There are 16 small cubes attached to the outer walls of the cuboid.
Therefore remaining inner small cubes will be the cubes having two sides green coloured.
So the required number = 24 - 16 = 8
Number of small cubes = l x b x h = 6 x 4 x 1 = 24
Such cubes are related to the corners of the cuboid. Since the number of corners of the cuboid is 4.
Hence, the number of such small cubes is 4.
Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.