if two cubes of length of each side 2root6cm are placed side by side then the length of diagonal of the cuboid so produced is
Answers
Answer
The side of cube is 2cm
The resultant length of cuboid is 2+2=4cm
The breadth of cuboid is 2cm
Te height of cuboid is 2cm
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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