Question

A cuboidal water reservoir contains 162800 litres of water. if the length of the reservoir is 8m and its breadth is 5.5m, find the depth of the reservoir​

Answer 1

Step-by-step explanation:

Answer

We know that volume of cuboid = length×breadth×height

So, height =Volume/lb

h=V/lb

h=42/(6×3.5)

h=2 m

Answer 2

GiveN:-

A cuboidal water reservoir contains 162800 litres of water. The length of the reservoir is 8m and its breadth is 5.5m.

To FinD:-

The depth of the reservoir.

SolutioN:-

Let us assume that the depth or height be "h" m.

First we have to convert the volume in m³ because the dimensions that is length and breadth are given in m so the depth according to the question will be in m.

We know that,

⇒1 m³ = 1000 litres

∴ 1 litre = 1/1000 m³

⇒162800 litres = 162800/1000 m³

⇒162800 litres = 1628/10 m³

⇒162800 litres = 162.8 m³

∴ Volume of the cuboidal reservoir = 162.8 m³

We know that if we are given the Volume of the cuboid, the length, the breadth and the height is asked to find then our required formula is,

Volume of cuboid = l × b × h

where,

• L is length = 8 m
• B is breadth = 5.5 m
• h is height or depth = "h" m
• Volume = 162.8 m³

Substituting the values in the equation,

⇒Volume of cuboid = l × b × h

⇒162.8 = 8 × 5.5 × h

⇒162.8 = 44 × h

⇒162.8/44 = h

⇒3.7 = h

∴ Height = 3.7 m.

The height of the cuboidal reservoir is 3.7 m.

VerificatioN:-

• Putting h = 3.7,

⇒Volume of cuboid = l × b × h

⇒162.8 = 8 × 5.5 × 3.7

⇒162.8 = 162.8

∴ LHS = RHS.

• Hence verified.