Question

Nemo's aquarium is filled with 2,4002{,}400 2,400 2, comma, 400 cubic centimeters of water. The base of the aquarium is 20 cm 20\text{ cm} 20 cm 20, start text, space, c, m, end text long and 12 cm12\text{ cm} 12 cm 12, start text, space, c, m, end text wide. What is the height of the water in Nemo's aquarium?

Answer 1

The water in the aquarium is a rectangular prism with dimensions 20, 12 and h (where the height is unknown).

We know that the volume is the product of the dimensions, and that it is 2400, so we have

$V=2400=20\cdot 12 \cdot h \iff 240h=2400 \iff h=10$