Question

Question 125

Water flows from a tank with a rectangular base measuring $80cm\times 70cm$ 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 $80cm\times 70cm$
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
$\Rightarrow 80\times 70\times 45=60\times 60\times h$ [$\because$ volume of cuboidal $=l\times b\times h$]
$\Rightarrow \frac{80\times 70\times 45}{60\times 60}=h\therefore h=70cm$
Hence, water in second tank will be 70 cm deep.