Question

A cubical tank with an edge length of 40 cm is filled with four 5.89 letter of water. How much more water is needed to fill the tank completely? Give your answer in litre. Chapter volume class 5th

Answer 1

Answer :-

$\: \\ \: \qquad \boxed{\boxed{\rm{\mapsto \: \: \: Firstly \: let's \: understand \: the \: concept \: used}}}$

Here the concept of relation between volume units has been used. We know that water(in litres) present to fill the tank completely is the volume of the tank. If we find out the Volume of the tank in litres and then subtract it from the given amount of water, we can find out the remaining water.

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★ Formula Used :-

$\: \\ \: \large{\boxed{\boxed{\sf{Volume \: of \: Cube \: = \: \bf{(Side)^{3}}}}}}$

$\: \\ \: \large{\boxed{\boxed{\sf{1000 \: \: cm^{3} \: = \: \bf{1 \: \: Litre}}}}}$

$\: \\ \: \large{\boxed{\boxed{\sf{Remaining \: water \: = \: \bf{Volume \: of \: tank_{(in \: litres) } \: - \: Water \: present \: in \: tank}}}}}$

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★ Question :-

A cubical tank with an edge length of 40 cm is filled with four 5.89 letter of water. How much more water is needed to fill the tank completely? Give your answer in litre.

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★ Solution :-

» Length of edge of cubical = 40 cm

Since, all edges of cube are equal. Then uts dimensions will be 40 × 40 × 40.

» Capacity of water present in tank = 5.89 Litres

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Then according to the question :-

~ Volume of Cubical Tank =

$\: \\ \qquad \: \large{\sf{\Longrightarrow \: \: \: Volume \: of \: Cube \: = \: \bf{(Side)^{3}}}}$

$\: \\ \qquad \large{\sf{\Longrightarrow \: \: \: Volume \: of \: Cubical \: tank \: = \: \bf{(40 \: \: cm)^{3}}}}$

$\: \\ \qquad \large{\sf{\Longrightarrow \: \: \: Volume \: of \: Cubical \: tank \: = \: \bf{64000 \: \: cm^{3}}}}$

$\: \\ \large{\boxed{\boxed{\tt{Volume \; of \; Tank \; = \; \bf{64000 \; cm^{3}}}}}}$

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$\: \\ \qquad \: \large{\sf{\Longrightarrow \: \: \: 1000 \: \: cm^{3} \: = \: \bf{1 \: \: Litre}}}$

$\: \\ \qquad \: \large{\sf{\Longrightarrow \: \: \: 64000 \: \: cm^{3} \: = \: \bf{\dfrac{64000}{1000} \: Litres \: = \: \underline{64 \: \: Litres}}}}$

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~ Capacity of water needed to fill the

tank :-

$\: \\ \qquad \: \large{\sf{\Longrightarrow \: \: \: Remaining \: water \: = \: \bf{Volume \: of \: tank_{(in \: litres) } \: - \: Water \: present \: in \: tank}}}$

$\: \\\: \large{\sf{\Longrightarrow \: \: \: Remaining \: water \: = \: \bf{64000 \;L \: - \: 5.89 \; L \: \: = \: \: \underline{58.11 \: \: Litres}}}}$

$\: \large{\boxed{\boxed{\tt{Capacity \; of \; water \; to \; fill \; the \; Tank \; = \; \bf{58.11 \; Litres}}}}}$

$\: \\ \large{\underline{\underline{\sf{\mapsto \: \: Thus, \: amount \: of \: water \: required \: to \: fill \: the \: tank \: is \: \: \boxed{\bf{58.11 \: \: Litres}}}}}}$

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$\: \\ \qquad \large{\underbrace{\sf{\leadsto \: \: Aid \: to \: Memory \: :-}}}$

• Volume of Cuboid = Length × Breadth × Height

• Volume of Cylinder = πr²h

• Volume of Cone = ⅓ × πr²h

• Volume of Hemisphere = ⅔ × πr³

• TSA of Cube = 6 × (Side)²

• TSA of Cylinder = 2πrh + 2πr²

Answer 2

Given :

A cubical tank with an edge length of 40 cm is filled with four 5.89 letter of water.

To find :

How much more water is needed to fill the tank completely.

Solution :

Given, edge of cubical tank = 40 cm

⇒ Edge length = (40/100) m

⇒  Edge length = 0.4 m

Now we know,

⇒  Volume of cube = Side³

⇒  Volume of tank = (0.4)³

⇒  Volume of tank = 0.064 m³

⇒  Volume of tank = (0.064 * 1000) l

⇒  Volume of tank = 64 l

Now water filled = 5.89 l

So water needed :

⇒  Water needed = (64 - 5.89) l

⇒  Water needed = 58.11 l

Therefore,

58.11 liters of water needed to fill it completely.