water flows from a tank with a rectangular base measuring 80 cm by 70 cm into a tank with a square base of 60 cm . If the water in the first tank is 45 m deep , how deep will it be in the second tank
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For same quantity of the water in both the tanks, volume of both the tanks must be same.
1) Volume of tank with rectangular base
V1= l×b×h1
Where, l = length of the rectangular base
b = width of the rectangular base
h1 = height of the rectangular tank
∴V1 =80×70×45
∴V1=252000cm³
2) Let h = height of the tank with square base
a = side of the square base
Thus, volume of the tank with square base =
V2 = a² × h2
∴V2 = 60²×h2
∴V2 = 3600×h2
3) V1 = V2
∴252000=3600×h2
∴h2 = 252000/3600
∴ h2 = 70 cm
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