# Applications of Algebra : Painting a Room

This Discussion tests our ability to use a ruler and convert from Standard English measure to Metrics.

a.Choose a room in your house. Measure the length, the width and the height. Make sure you use feet and inches. Most rooms are not a whole number such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc. (Master Bedroom, Lenth 15.3 x Width 12.6 x Height 16.5)

b.Record your dimensions and using the appropriate formula find the surface area of the room.

c.A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon.

d.If a gallon of paint costs \$22.95 plus 8% tax, what would be the total cost to paint the room?

e.One inch is equivalent to 2.54 centimeters. Convert your English measurements to metrics. Record each dimension in centimeters. Show your conversions.

f.Find the volume in cubic centimeters. Be neat and precise.

g.If each dimension (length, width and height) is doubled, what happens to the volume of the room? Show your work.

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#### Solution Preview

...95 + 8% of \$22.95
=> 1 gallon = \$24.79
3 gallon = ?
3 * \$24.79 = \$74.37

e. 1 in = 2.54 cm.
1 foot = 12 inches

Length = 14 ft 3 in
14ft * 12in = 168 in
168 in + 3 in = 171 inches
171in * 2.54cm = 434.34cm

Therefore, lenght is 434.34cm.

Width =11 ft 8in
11ft * 12in = 132 in
132in + 8in = 140in
140in * 2.54cm = 355.6 cm

Height = ...