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All the faces of a cuboid of dimensions 6 cm x 4 cm x 2 cm were painted red. It was cut into cubical blocks each of side 2 cm. How any cubes have three faces painted?
[tex]\sf\red{Thank\:you!}[/tex]
I need explanation.
All the faces of a cuboid of dimensions 6 cm x 4 cm x 2 cm were painted red. It was cut into cubical blocks each of side 2 cm. How any cubes have three faces painted?
[tex]\sf\red{Thank\:you!}[/tex]
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Answer:
4
Step-by-step explanation:
Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.
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Answer:
Two cubes will have three faces painted.
Explanation:
Refer to the attached snapshot (the blue lines represent the edges of the cubical blocks that were taken out from the cuboid). This cuboid has a space dimension of 6×4×2 units. We'll get six cubes when the cuboid is cut into cubical boxes of side 2, four at the corners and two in the middle.
The cubes at the corners will have 4 painted faces, that is, two sides, the top and the bottom. While the cube with the green edges and the one opposite to it, when taken out, will have three painted faces, that is, the top, the bottom and a front.
Therefore, only two cubes will have 3 painted faces. And hence, the answer.