A cuboidal water tank has 216 litres of water. Its depth

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A cuboidal water tank has 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference of length and breadth. The length of the tankis

Let the length of tank = x dm

Depth =	x	dm
	3

⇒ Breadth =		x -	x		×	1	×	1
			3			3		2

=	2x	×	1	×	1	=	x	dm
	3		3		2		9

∴ Volume of tank = x ×	x	×	x	=	x³
	9		3		27

According to the question,

	x³	= 216
	27

⇒ x³ = 27 × 216
⇒ x = (27 × 216)^1/3
∴ x = 3 × 6 = 18 dm