Question 38564
<pre><font size = 3><b>A lake is 928 acres and has a depth of 17 feet, how may cubic feet of water is
in the lake?

Any shape that has the same shape and area of cross-section all the way through
is a prism. The equation for calculating the volume of a prism is the cross-
sectional area of the prism multiplied by its length.

If we assume the depth everywhere is 17 feet, then the lake is a prism.

The area of the lake's cross-section, i.e., its surface is 928 acres

Since 1 Acre = 43560 ft², 928 Acres = 928×43560 ft² = 40423680 ft²

Volume = (Area of cross-section)×(height, which in this case is depth)

Volume = 40423680 ft² × 17 ft = 687202560 ft³

Edwin
AnlytcPhil@aol.com</pre>