Aquarium Water Height After Rock Addition

An aquarium shaped like a rec\tangular prism has dimensions of 150 cm in length, 60 cm in width, and 80 cm in height. It is completely filled with water. A rock with a volume of 30,000 cm³ is then added to the aquarium.

To find the new water level, we first need to determine the initial volume of water in the aquarium and then deduct the volume of the rock. The formula for the volume of a rec\tangular prism is:

$$ V = l imes w imes h $$

where $l$ is the length, $w$ is the width, and $h$ is the height. Subsequently, we will calculate the height that corresponds to the new volume after the rock has been submerged.

What is the new height of the water in the aquarium after the rock is added?