If two cubes of length of each side 2rut6 cm are placed side by side, then the length of the diagonal of the cuboid so produced is
Answers
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Given :- If two cubes of length of each side 2√6 cm are placed side by side , then what is the length of the diagonal of the cuboid so produced is ?
Solution :-
we know that, when two cubes of same length are placed side by side, then,
- Length of cuboid so formed = 2 * Length of cube = 4√6 cm.
- Breadth of cuboid = Length of cube = 2√6 cm.
- Height of cuboid = Length of cube = 2√6 cm.
now, we also know that,
- Diagonal of the cuboid =√(length² + breadth² +height²)
Putting all values we get,
→ Diagonal = √[(4√6)² + (2√6)² + (2√6)²]
→ Diagonal = √[96 + 24 + 24]
→ Diagonal = √(144)
→ Diagonal = 12 cm.
Hence, the length of the diagonal of the cuboid so produced is 12 cm.
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