Multiple choice

The area of the base of a rectangle tank is $6500c{m^2}$ and the volume of water contained in it is $2.6$ cubic metres. The depth of water in the tank is:

  1. 3.5m

  2. 4m

  3. 5m

  4. 6m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume is equal to base area multiplied by height. Converting 2.6 cubic meters to 26000 cubic centimeters, the height is 26000 / 6500 = 4 cm. Note that the options are in meters, implying the question likely intended 2.6 cubic meters and 6500 square centimeters, resulting in 4 meters.

AI explanation

Convert the base area of the tank into square metres by dividing 6500 by 10000, which gives 0.65 square metres. Using the rectangular prism volume formula, Volume equals Base Area multiplied by Depth. Substituting the given volume of 2.6 cubic metres, 2.6 = 0.65 * Depth. Dividing 2.6 by 0.65 yields a depth of 4 metres. The result is 4m.

Keep practicing — related questions