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Question

The volume of a cuboid is 1536 m3. Its length is 16 m, and its breadth and height are in the ratio 3 : 2. Find the breadth and height of the cuboid.


Solution

Length of the cuboid = 16 m
Suppose that the breadth and height of the cuboid are 3x m and 2x m, respectively.
Then 1536=16×3x×2x1536=16×6x2x2=153696=16x=16=4

∴ The breadth and height of the cuboid are 12 m and 8 m, respectively.

Mathematics
RS Aggarwal (2017)
Standard IX

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