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
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 m³.
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