Q13 of 189 Page 482

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

Given,


Volume of cuboid = 1536 m3


Length of cuboid = 16 m


Ratio of breadth and height = 3 : 2


Let breadth = 3x


Let breadth = 2x


∴ Volume of cuboid = l × b × h


= 1536 = 16 × 3x × 2x


= 6x2 =


= x2 =


= x = = 4


Hence,


Breadth of cuboid = 3x = 3 × 4 = 12m


Height of cuboid = 2x = 2 × 4 = 8m


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