The same amount of paint was used to paint the inside of the open-top cube tank as to paint the floor of a 20m² room.

The same amount of paint was used to paint the inside of the open-top cube tank as to paint the floor of a 20m² room. How much water can you put into the tank?

Problem data: S1 (floor area of the room) = S2 (area of the inner surface of the cubic tank, which was opened at the top) = 20 m2.

1) Determine the length of the edge of the cubic tank: S1 = S2 = 5a ^ 2, whence a = √ (S1 / 5) = √ (20/5) = 2 m.

2) Calculate the volume of a cubic tank (volume of water poured): V = a ^ 3 = 2 ^ 3 = 8 m3.

Answer: It will be possible to pour 8 m3 of water into a cubic tank.