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?

Answer 1

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.