Question

9. A cuboidal water tank can hold 60,000 litres
of water. If the length and breadth of the tank
are 10 m and 4 m respectively, find its height.​

Answer 1

Answer:

1mcube =1000liter

60,000lirer=60,000/1000=60mcube

l=10m

b=4m

volume =l*b*h

60mcube=10*4*h

h=60/40=1.5

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Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The height of the tank = 1.5 m

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$\sf{\underline{\green{Given:-}}}$

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• A cuboidal water tank can hold 60,000 litres of water. If the length and breadth of the tank are 10 m and 4 m respectively.

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$\sf{\underline{\green{Find:-}}}$

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• The height of the tank = ?

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$\sf{\underline{\green{Explanation:-}}}$

• Volume of cuboid = 60000 L
• Volume of cuboid = 60 m³

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$\bigstar{\underline{\boxed{\sf\purple{1000\:litres = 1m^3 }}}}$

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$\sf{\underline\purple{Formula\:Used\:Here:-}}$

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$\bigstar\boxed{\sf{\red{Volume = Length \times Breadth \times Height}}}$

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$\sf{\underline{\pink{Putting\:the\:values:-}}}$

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$\longrightarrow \sf {Volume = 10 \times 4 \times Height }$

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$\longrightarrow \sf {60 = 40 \times Height}$

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$\longrightarrow \sf {Height = \cancel\dfrac{60}{40}}$

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$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt Height = 1.5\:m }}}}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• The height of the tank = 1.5 m

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$\rule{200}{2}$