Question

a cuboidal vessel is 10m long and 8m wide how high must it be made to hold 380 cubic meters of a liquid ?

Answer 1

length   =10 m
breadth =8 cm
volume  =380 cm³
⇒l*b*h   =380
⇒10*8*h=380
⇒h        =38/8
   h         =4.75 m
Therefore,the vessel must be made to a height of 4.75 m to hold 380 cubic meters of a liquid.

Answer 2

Given : A cuboidal vessel is 10m long and 8m wide.

To find : The required height for the cuboidal vessel to hold 380 cubic meters of a liquid.

Solution :

The required height is 4.75 m

We can simply solve this mathematical problem by using the following mathematical process.

Given holding capacity or volume of the cuboidal vessel = 380 cubic meters

Let, the required height = h meters

So, Volume of the cuboidal vessel = Length × Width × Height = (10×8×h) = 80h cubic meters

According to the data mentioned in the question,

80h = 380

h = 380/80

h = 4.75 meters

Hence, the required height should be 4.75 m