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