Question

A water tank is filled with 52litres of water. Its length and breadth are8 cm and 6.5cm respectively. What is the height of the water in the tank?

Answer 1

Answer:

52litre=52000cm3

8*6.5*h=52000

h=1000cm

=10m

Answer 2

Required Answer :

Given -

• A water tank is filled with 52 litres of water

• It's length and breadth are 8 cm and 6.5 cm respectively

To Find -

• Height of the water in the tank

Formula Used -

• Volume of Cuboid = Length × Breadth × Height

Solution -

To find the Height of the water in the tank, we need to find out the Volume of the water tank first, so let's do it!

As we know that, 1 $l$ = 1000 $ml$

So, 52 $l$ = 52000 $ml$ ( 52 × 1000 = 52000 )

Hence, Converted!

Now we have the Volume of the water tank let's find out the Height of the water in the tank then!

Volume of Cuboid = Length × Breadth × Height

Volume of Cuboid = 8 × 6.5 × h

52000 = 52 × h

52000 = 52h

$= \sf\dfrac{52000}{52}$

$= \sf\dfrac{\not52000}{\not52}$

$= \sf1000$

∴ Height of the water in the tank is 1000 cm

Verification :

Volume of Cuboid = Length × Breadth × Height

Volume of Cuboid = 8 × 6.5 × 1000

Volume of Cuboid = 52000 cm

Hence, Verified!

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Basic Formulae related to Cuboid :

Total Surface area = 2 ( Length x Breadth + Breadth x Height + Length x Height )

Lateral Surface area = 2 height( Length + Breadth )

Volume of cuboid = (length × breadth × height)

Diagonal of cuboid = √( l2 + b2 + h2 )

Perimeter of cuboid = 4 ( Length + Breadth + Height )

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Additional Information :

$\boxed{\begin{array}{c|c|c} \sf{Measure} & \sf{Standard\:Unit} & \sf{Measures\:used\:in\: day-to-day\:life} \\ \dfrac{\qquad\qquad}{} & \dfrac{\qquad\qquad}{} & \dfrac{\qquad\qquad}{} \\ \sf{Length} & \sf{metre} & \sf{mm,\:cm,\:m,\:km} \\ \dfrac{\qquad\qquad}{} & \dfrac{\qquad\qquad}{} &\dfrac{\qquad\qquad}{}\\ \sf{Weight\:(mass)} & \sf{gram} & \sf{mg,\:g,\:kg} \\ \dfrac{\qquad\qquad}{} & \dfrac{\qquad\qquad}{} & \dfrac{\qquad\qquad}{} \\ \sf{Capacity} & \sf{litre} & \sf{ml,\:L} \end{array}}$

$\boxed{\begin{array}{c|c|c|c} & \sf {Measures \:of \:length} & \sf {Measures\:of \: mass} & \sf {Measures\: of \: capacity} \\ \dfrac{\qquad \qquad}{} & \dfrac{\qquad\qquad}{} &\dfrac{\qquad\qquad}{} &\dfrac{\qquad \qquad}{} \\ \sf {Higher \: units} & \sf {Kilometre} & \sf {Kilogram} & \sf {Kilolitre} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow} \\ & \sf{Hectometre} & \sf{Hectogram} & \sf{Hectolitre} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow} \\ & \sf{Decametre} & \sf{Decagram} & \sf{Decalitre} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow}\\ \boxed{\sf{Basic\: Unit}} & \boxed{\sf{METRE}} & \boxed{\sf{GRAM}} & \boxed{\sf{LITRE}} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow} \\ & \sf{Decimetre} & \sf{Decigram} & \sf{Decilitre} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow} \\ \sf{Lower\: units} & \sf{Centimetre} & \sf{Centigram} & \sf{Centilitre} \\ & \quad{\uparrow} & \quad{\uparrow} & \quad{\uparrow} \\ & \sf{Millimetre} & \sf{Milligram} & \sf{Millilitre} \end{array}}$

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