MathDB

A pond has been dug at the Indian Statistical Institute as an inverted truncated pyramid with a square base (see figure below). The depth of the pond is 6m. The square at the bottom has side length 2m and the top square has side length 8m. Water is filled in at a rate of

\tfrac{19}{3}

cubic meters per hour. At what rate is the water level rising exactly

1

hour after the water started to fill the pond?
https://cdn.artofproblemsolving.com/attachments/0/9/ff8cac4bb4596ec6c030813da7e827e9a09dfd.png

Problem Statement