Question

A cuboidal vessel is 10 m long 8 m wide. How much high it be made to hold 192 cubic metres of a liquid?

Answer 1

Answer:

Given: Length and breadth of the cuboidal vessel are 10 m and 8 m respectively. It must hold 380 m3 of a liquid.

Since the vessel is cuboidal in shape, the volume of liquid in the vessel will be equal to the volume of the cuboid.

The volume of the cuboid of length l, breadth b, and height h, is V = l × b × h

Let the height of the cuboidal vessel be h.

Length of the cuboidal vessel, l = 10 m

The breadth of the cuboidal vessel, b = 8 m

The capacity of the cuboidal vessel (V) = 380 m3

Volume of the liquid in the cuboidal vessel = l × b × h

l × b × h = 380m3

10 m × 8 m × h = 380m3

h = 380 / (10 × 8)

h = 4.75 m

Answer 2

Step-by-step explanation:

length=10m

breadth=8m

height=?

volume of cuboid=l×b×h

volume of vessel=192m³

therefore,

10m×8m×h=192m³

80m²×h=192m³

h=192m³/80m²

h=2.4m ans.