The volume of a cuboid is 5184 cm. It can be cut exactly into either 3-cm cube or 2-cm cubes.
The ratio of the length of the cuboid to its breadth to its height is 4:3 : 2. Find the dimensions
of the cuboid.
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Length of cuboid = 4a
Breadth of cuboid = 3a
Height of cuboid = 2a
=> 4a x 3a x 2a = 5184
=> 24a³ = 5184
=> a³ = 5184/24
=> a³ = 216
=> a = 6cm
Length= 4a = 4 x 6 = 24cm
Breadth = 3a = 3 x 6 = 18cm
Height = 2a = 2 x 6 = 12 cm
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Answer:
1728 and 1152 is the answer I think
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