Multiple choice

You can find the volume of an irregularly shaped solid object by completely submerging it in water and calculating the volume of water the object displaces. You completely submerge a solid object in a rectangular tank that has a base $40$ centimeters by $30$ centimeters and is filled with water to a depth of $20$ centimeters. The object sinks to the bottom, and the water level goes up $0.25$ centimeters. What is the volume, in cubic centimeters, of the object?

  1. $300$
  2. $240$
  3. $200$
  4. $150$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The volume of the displaced water is equal to the volume of the object. Volume = base area * change in height = (40 * 30) * 0.25 = 1200 * 0.25 = 300 cubic centimeters.

AI explanation

The volume of the submerged object is equal to the volume of the water it displaces, which is calculated by multiplying the area of the tank's base by the change in water depth. The base area is 40 cm by 30 cm, which equals 1200 square centimeters. Multiplying this base area by the water level increase of 0.25 cm gives a displaced volume of 1200 * 0.25 = 300 cubic centimeters.