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Question
Water flows from a tank with a rectangular base measuring 80 cm by 70 cm into another tank with a square base of side 60 cm. If the water in the first tank is 45 cm deep, how deep will it be in the second tank?
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Solution
Dimensions of rectangular base tank are 80 cm × 70 cm
Height of rectangle base tank = 45 cm
Each side of square base tank = 60 cm
Let h be the height of square base tank.
Volume of rectangular tank = Volume of square tank
⇒ 80 × 70 × 45 = 60 × 60 × h ...[∵ Volume of cuboidal = l × b × h]
⇒ `(80 xx 70 xx 45)/(60 xx 60) = h`
∴ h = 70 cm
Hence, water in second tank will be 70 cm deep.
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