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A cuboidal water reserva contains 162800 liters of water . lf the length of the reservoir is 8cm and its breadth is 5.5m . find the depth of the reservoir.plzzzzzzz answer step by step it's urgent.​

Answer»

Answer:

Depth of the reservoir = 3.7 m

Step-by-step explanation:

Given:

  • CAPACITY of reservoir = 162800 L
  • Length of reservoir = 8 m
  • Breadth of reservoir = 5.5 m

To Find:

  • Depth of the reservoir

Concept:

First find the volume of the reservoir in m³. Substituting the values in the formula for volume of a cuboid, we get the value of the depth.

Solution:

First we have to find the volume of the cuboidal reservoir in m³

We know that 1 m³ = 1000 L

Hence,

162800 L = 162.8 m³

Therefore volume of the reservoir is 162.8 m³.

We know that volume of a cuboid is given by

Volume of cuboid = l × b × h

where l = length

          b = breadth

          h = height

Substitute the given data,

162.8 = 8 × 5.5 × h

44h = 162.8

   h = 162.8/44

   h = 3.7

Here height of the reservoir is the depth.

Hence the depth of the reservoir is 3.7 m.

Notes:

The lateral surface area of a cuboid = 2h (l + b)

The total surface area of a cuboid = 2 (lb + bh + lh)


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