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Probability

Question
CBSEENMA9003480

A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

Solution

Let the height of the cuboidal vessel be h m. l = 10 m b = 8 m
Capacity of the cuboidal vessel = 380 m3
rightwards double arrow                 lbh = 380
rightwards double arrow         (10)(8)h = 380
rightwards double arrow space space space space straight h equals fraction numerator 380 over denominator left parenthesis 10 right parenthesis left parenthesis 8 right parenthesis end fraction
rightwards double arrow space space space straight h space equals space 19 over 4
rightwards double arrow space space space space space straight h equals 4.75 space straight m

Hence, the cuboidal vessel must be made 4.75 m high.