Math, asked by sohelbagwan2402, 1 year ago

A storage tank is in the form of cube . when it is full of water ,the volume of water is 15.625mcube . if the present depth of water is 1.3m .find the volume of water already used from the tank

Answers

Answered by Anonymous
5

Answer:-

When the cubical tank is full

Volume of water = Volume of cube = 15.625 m³

So, we know that,

Volume of cube = (length of edge of cube)³

→ (length of edge of cube)3 = 16.625

→ length of edge of cube = ∛16.625

2.5 m

We know that,

Length of the edge of the cube = 2.5 m.

When the present depth of the water is 1.3 m

Length of tank = 2.5 m

Breadth of tank = 2.5 m

So, volume of water upto 1.3 m depth = length × breadth × depth

= 2.5 × 2.5 × 1.3

= 8.125 m³

Then, volume of water already used from the tank = (Volume of tank when it was full of water) – (Volume of water when depth is 1.3 m)

= 15.625 – 8.125

= 7.5 m³

Thus, volume of water already used from the tank is 7.5 .

Answered by Anonymous
2

Solution :-

As per the given question :-

When the cubical tank is full.

Volume of water = Volume of cube = 15.625 m^3

So now, we know that,

Volume of cube = ( Length of edge of cube)^3

→ ( Length of edge of cube)3 = 15.625

2.5 m.

So now, we know that

Length of the edge of cube = 2.5 m.

When the present depth of the water = 1.3 m.

Length of the tank = 2.5 m

Breath of the tank = 2.5 m

So now volume of water up to 1.3 m depth = l × b × h.

→ L × B × H

→ 2.5 × 2.5 × 1.3

8.125 m^3.

Then volume of water already used from tank = ( volume of tank when it was full of the water ) - Volume of water when depth is 1.3 m

15.625 - 8.125

7.5 m^3

Hence required answer = 7.5 m^3

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