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Chapter 1: Problem 25

The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is \(43560 \mathrm{ft}^{2}\). Find the volume in SI units of a reservoir containing \(25.0\) acre-ft of water.

Short Answer

Expert verified
The volume of a reservoir containing `25.0` acre-ft of water in SI units is `30836.968` cubic meters.

Step by step solution

01

Understanding Acre-feet Volume

Determine the volume in cubic feet using the definition of an acre-foot: 1 acre-foot \(= 43560 \, \mathrm{ft}^{2}\) * 1 ft = 43560 cubic ft. So, \(25.0\) acre-ft of water means \(25.0 * 43560 = 1,089,000 \, \mathrm{ft}^{3}\) of water.
02

Conversion from Cubic Feet to Cubic Meters

We will now convert volume in cubic feet to cubic meters. We also consider the conversion factor: 1 cubic foot = \(0.0283168 \, \mathrm{m}^{3}\). This gives us a total volume in cubic meters as \(1,089,000 \, \mathrm{ft}^{3} * 0.0283168 \, \mathrm{m}^{3/\mathrm{ft}^{3}} = 30836.968 \, \mathrm{m}^{3}\).

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