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General

General

Easy

Question

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

hint Hint:

A cuboid is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are rectangles.

Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds. Volume of a cuboid = length $cross times$ width $cross times$ height

The correct answer is: The given cuboidal vessel must be 4.75 m high to hold 380 m3 of liquid.

Step-by-step solution:
From the given information, we get-

Length = 10m

Width = 8m

Height = ?

Volume = 380 m3

Now, we know that, Volume of a cuboid = length $cross times$ width $cross times$ height
∴ Volume of the given cuboidal vessel = length $cross times$ width $cross times$ height
∴ 380 = 10 $cross times$ 8 $cross times$ Height ................................... (From given information)
∴ 380 = 80 $cross times$ Height ........................................ (Equation i)
∴ 380 / 80 = Height ............................................... (Dividing both sides by 80)
∴ 4.75 m = Height
∴ The given cuboidal vessel must be 4.75 m high to hold 380 m3 of liquid.

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