Multiple choice

Solid metal cube of side $3$ inches is placed in a rectangular tank whose length, width and height are $3, 4$ and $5$ inches, respectively. What is the volume, in cubic units, of water that the tank can now hold?

  1. $20$
  2. $27$
  3. $33$
  4. $48$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The tank volume is 3 * 4 * 5 = 60 cubic units. The cube volume is 3 * 3 * 3 = 27 cubic units. When the cube is placed in the tank, it displaces its own volume of water. Remaining volume = 60 - 27 = 33 cubic units.

AI explanation

The total volume of the rectangular tank is found by multiplying its length, width, and height, giving 3 times 4 times 5 equals 60 cubic inches. The volume of the solid metal cube placed inside is 3 times 3 times 3, which is 27 cubic inches. Because the cube displaces its own volume in water, the volume of water the tank can now hold is the total tank volume minus the cube volume. Subtracting 27 from 60 leaves 33 cubic inches of capacity for the water.

Keep practicing — related questions