HWR203 Unit Conversion Homework

HWR203 Unit Conversion Homework

Name:______Due: next class

14 pts total (2 pts ea)

Objective: calculate lengths, areas and volumes and convert these measurements between various standard (English) and metric (SI) units. Round to 3 sig. figs.

Purpose: this is an important and useful skill as volumes of water are often calculated using different units depending on the use of water and it is necessary to compare volumes using consistent units of measurement.

Examples: To solve unit conversion problems, set-up a ratio using information from the Useful Equivalents handout. Start with the initial quantity and make sure that the ratios cancel out all units except the final desired one. Show all steps and calculations! Your final answer should be rounded to three significant figures and written in scientific (power of 10) notation.

A) Find the number of gallons in 100 af (acre-feet):

1 af = 325,851 gallons

100 af x 325,851 gal/ 1 af = 32,585,100 gal

(Round to 32,600,000 gal and express as 3.26 x 107 gal or 32.6 Mgal)

B) Find the number of square meters in 2 acres:

1 ac = (208.7ft)2

1 m = 3.281 ft 2 ac x (208.7 ft)2 / 1 ac x (1 m)2 / (3.281 ft)2 = 8092 m2

10,000 m2 = 2.471 ac 2 ac x 10,000 m2 / 2.471 ac = 8094 m2

(Round to 8090 m2 and express as 8.09 x 103 m2)

Part I (Please show calculations)

Length:

1) How many miles are in 10 km?

2) How many kilometers are in 333 mi?

Area (2 sides or 2 dimensions):

3) Find the number of acres in 600 mi2:

4) Find the number of square meters (m2) in 10 acres:

Volume (3 sides or 3 dimensions):

5) Find the number of cubic centimeters in a cube that is 10 m on a side (it may help to draw the cube out):

6) Find the number of acre-feet in 50,000 m3:

7) How many gallons of water fall when one inch of rain falls on one acre of land?