Three cubes each of the volume 64 cm cube are joining end to end the surface area of the resulting cuboid is ?
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༒ Qυєѕтiσи ༒
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Three cubes each of the volume 64 cm cube are joining end to end the surface area of the resulting cuboid is ?
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★彡 Sσℓυтiσи 彡★
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We know that
Volume of both cubes is 64cm³
⛬ One side = (64)^ ⅓
= 4
The cubes are joined end to end (Given)
- Length = 8 cm
- Breadth = 4 cm
- Height = 4 cm
Surface area of resulting cuboid :-
⟹ 2 ( lb + bh + hl )
⟹ 2 ( 32 + 16 + 32 )
⟹ ( 2 × 80 ) cm²
⟹ 160 cm²
⛬ Surface area of resulting cuboid is 160 cm²
Answered by
1
Volume of each cube=64cm³
(Sides)³=64cm³
(sides)³=(4cm)³
sides=4cm
Therefore, dimensions of cuboid= 4cm × 4cm × 12cm
Surface area of cuboid= 2(lb+lh+bh)
=> 2(4cm×4cm+4cm×12cm+12cm×4cm)
=> 224cm²
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