Question

Mike glued metal cube onto the base of an empty rectangular tank as shown below. Mike then turned on a tap to fill the tank with water. Water from the tap flowed at a rate of 5587 cm3 per minute. It took 8 minutes to fill the tank with water to its brim, with the metal cube being completely submerged. Find the length of one side of the metal cube. (in cm)

Answer 1

Hey bro !!

Here is your answer..

Water takes 1 min to fill 5587 cm^3.
1 min = 5587 cm^3

The rectangular tank is filled in 8 min with the submerged cube.
so,
8 min = 5587 × 8
= 44696 cm^3

Volume of rectangular tank ( if cube is not submerged ) = L × b × h
= 56 × 24 × 34
= 45696 cm^3

Volume of cube = (L)^3

Volume of cube = Total Volume of rectangular tank - Volume of rectangular tank with submerged cube.

= 45696 - 44696
= 1000 cm^3

Volume of cube = (L)^3
1000 = (L)^3
L = 10 cm

length of one side of cube is 10cm.

HOPE IT HELPS YOU...

THANKS
^-^