Question

A lake in a certain country has a volume of approximately 2560 cubic​ kilometers, and its surface area is 69,604 square kilometers. Complete parts​ (a) through​ (c) below. A. What is the average depth of the lake​ (the depth of a box with the volume and surface area of the​ lake)?

Answer 1

35.8 meters

Explanation:

Let x be the lake depth. We are given the lake volume and its surface area. We know that the area times the depth is equal to the total volume:

(Depth)*(Area), or x*Area =Volume

We are given the area and volume, so we can write:

x*(69604 km^2) = 2560 km^3

x = 0.036779 km

We can convert this to meters (from km):

x = 35.8 meters