Question

a water tank is 350 cm long 2 metre wide and 1 m 50 cm deep. how many litre of water can it hold​

Answer 1

Given:-

• length = 3.5 m
• Width = 2 m
• Depth = 1.5 m

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To find:-

• Litres of water can it hold.

⠀

Solution:-

→ Volume = l × b × h

→ Volume = 3.5 × 2 × 1.5

→ Volume = 10.5 cu m

⠀

Therefore,

• the volume of the water tank is 10.5 cu m.

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We know that,

• 1 cu m = 1000 l

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So,

• capacity of water tank in liters:-

→ 10.5 × 1000

→ 10500 Liters

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Hence,

• the water tank can hold 10500 liters of water.

Answer 2

AnswEr-:

• $\underline {\boxed{\dag{\red{\mathrm{ The\:Amount\:of\:water\:this\:tank\:hold\:=10500\:liters}}}}}$

Explanation-:

• $\mathrm { Given-: }$

• Length of water tank -: 350cm
• Breadth of water tank -: 2m
• Height of water tank -: 1 m 50 cm

• $\mathrm { To\:Find-: }$

• How many liters of water a tank can hold .

$\mathrm {\dag{ Solution \:of\:Question-:}}$

• Height of water tank -: 1 m 50 cm

• [ 1m = 100 cm]

• Then ,

• Height of water tank -: 1 m 50 cm or 1.50 m.

• Length of Tank -: 350 cm or 3.5 m

Therefore,

• Length of water tank -: 350m or 3.5 m
• Breadth of water tank -: 2m
• Height of water tank -: 1m 50 cm or 1.50 m

• $\underbrace {\mathrm{ Understanding \:the\:Concept-:}}$

• By Analysing Given dimensions we can see that the tank is Rectangular tank or in shape of Cuboid.

• We have to Find how many litres of Water a tank can hold whose length, Breadth and height is given.

• For this we have to find the Volume of Tank and we get volume in cubic.m (m³) ,

• And we know that [ 1m³ = 1000 litres ] By this we can get how many litres of water a tank can hold .

As we know that ,

• $\underline {\boxed{\dag{\red{\mathrm{ Volume_{(Rectangular\:Tank)} = Length\times Breadth \times Height}}}}}$

• Here ,

• Length of water tank -: 350cm or 3.5 m
• Breadth of water tank -: 2m
• Height of water tank -: 1m 50 cm or 1.50 m

Now , By Putting known Values in Formula for Volume of Rectangular tank -:

• $\longrightarrow {\mathrm {Volume= 3.5 \times 2 \times 1.50 }}$

• $\longrightarrow {\mathrm {Volume= 7 \times 1.50 }}$

• $\longrightarrow {\mathrm {Volume= 10.5 m^{3} }}$

Therefore-:

• $\underline{\boxed {\mathrm {Volume\:of\:Rectangular\:Tank\:= 10.5 m^{3} }}}$

As , We know that ,

• [1 m³ = 1000 liters ]

Then ,

• Amount of Water -: Volume of Tank × 1000 liters .

Here ,

• $\longrightarrow {\mathrm {Volume= 10.5 m^{3} }}$

Now , By Putting known Values-:

• $\longrightarrow {\mathrm { Amount \:of\:Water\:= 10.5 \times 1000}}$

• $\longrightarrow {\mathrm { Amount \:of\:Water\:= 10500 \:liters}}$

Hence,

• $\underline {\boxed{\dag{\red{\mathrm{ The\:Amount\:of\:water\:this\:tank\:hold\:=10500\:liters}}}}}$

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