A tank is in the form of a cuboid whose length is 20 metre. If 18 cubic metre water is removed from it the water level goes down by 15 centimetre. Find the width of the tank

  • matematika

    Subject:

    Math
  • Author:

    butler
  • Created:

    1 year ago

Answers 2

Answer:

Volume of removed water = Length X width X decrease in water level

⇒ 18 = 20 X width X 0.15

∴ width = 6 metre

Step-by-step explanation:

Given:

A tank is in the form of a cuboid whose length is 20 metres. If 18 cubic metres of water is removed from it the water level goes down by 15 centimetres.

To find:

The width of the tank.

Solution:

The width of the tank is 6m.

To answer this question, we will follow the following steps:

As given, we have,

The length of a tank which is in the form of cuboid = 20m

Now,

When 18 cubic metres of water is removed, the water level goes down by = 15cm = 0.15m (as 1m = 100cm)

Now,

We know that the volume of a cuboid is equal to the product of length, breadth and height of that cuboid.

Here,

The volume of removed water

= length × width × decreased height of water

So,

[tex]20 \times width \times 0.15 = 18[/tex]

[tex]3 \times width = 18[/tex]

[tex]width = 6m[/tex]

Hence, the width of the tank is 6m.

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