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प्रश्न
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?
उत्तर
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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