Question

find the volume in litres of the water in a tank which is 6 m long 4 m broad and 4 m high​

Answer 1

Given:

• A tank is 6m long ,4m broad, 4m high.

To Find:

• The volume of the tank in liters

Solution:

◐ Firstly, let's find the volume of the given tank here in meters and then convert the values in liters.

★let's start★

$\pink{ \underline{ \mathfrak{ \dag As \: we \: know \: that : }}}$

❍ measurements of the tank:

• length – 6m
• breath – 4m
• hieght – 4m

⇢ Now,

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \: volumw \: of \: a \: cuboid = lenhgt \times width \times hieght}}}}}$

⇢ let's substitute the values now,

${ : \implies} \sf \: volume \: of \:the \: tank = (6 \times 4 \times 4) {m}^{3} \\ \\ \\ { : \implies} \sf \: volume \: of \:the \: tank = 96 {m}^{3} \bigstar \: \: \: \: \: \: \: \: \: \: \: \:$

➛ Thereby, the volume of the tank is 96m³

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➷ Now,we have to convert it into liters.

❍ now, we know that ,

↦ 1m³ = 1000 liters★

${ : \implies} \sf \: 1 {m}^{3} = 1000liters \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ { : \implies} \sf \: 96{m}^{3} = 1000 \times 96liters \: \: \\ \\ \\ { : \implies} \sf \:96{m}^{3} = 96000liters \bigstar \: \: \: \: \:$

Answer 2

Given :-

• Length of the Tank = 6m
• Breadth of the Tank = 4m
• Height of the Tank = 4m

To Find :-

• The volume of the Tank in litres

Solution :-

➞ Volume of Tank = L × B × H

➞ Volume of Tank = 6 × 4 × 4

➞ Volume of Tank = 6 × 16

➞ Volume of Tank = 96m³

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➞ 1m³ = 1000 litres

➞ 93m³ = 1000 × 93

➞ 93m³ = 93000 litres

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Therefore, Volume of the Tank = 93000L

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★ Additional Info :

Formulas Related to Volume :

• Volume of cylinder = πr²h
• Volume of cone = ⅓ πr²h
• Volume of cuboid = l × b × h
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Volume of hemisphere = ⅔ πr³

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