  Surface Area and Volume of a Room

by Maria
(Rapid City, S.D.)

room - length 8ft,width 8ft,height 8ft.

Do not use decimal numbers for the feet.

Convert the measurements to all inches for first step, and then convert back to square feet for next step.

Record dimensions with appropriate formula, find surface area of the room.

If gallon of paint covers about 350 square feet, how many gallons required to paint the room, rounded up to the nearest gallon.

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

One inch is equivalent to 2.54 centimeters.

Converting English measurements to metrics, record each dimension in centimeters. Show conversions.

Find the volume in cubic centimeters.

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

Comments for Surface Area and Volume of a Room

 Feb 28, 2013 Calculating Area and Volume by: Staff Answer Length, width, and height of room.Length: 8 ftWidth: 8 ftHeight: 8 ftConvert the measurements to all inches(1 foot = 12 inches. )Length: 8 ft = 8 ft * 12 in/ft= 96 inWidth: 10 ft exactly8 ft = 8 ft * 12 in/ft= 96 inHeight: 9 ft 6 in8 ft = 8 ft * 12 in/ft= 96 inCompute the Surface Area of the Room in square inchesSurface area of 1 wall (all 6 surface areas are the same) = 96 in * 96 in1 wall = 9216 in²Calculations make no allowances for windows or doors.1st two opposite walls = 2 * (9216 in²) = 18432 in²2nd two opposite walls = 2 * (9216 in²) = 18432 in²Ceiling = 9216 in²Floor = 9216 in²Total surface area of the room Calculations do not include the floor.= 18432 in² + 18432 in² + 9216 in² = 46080 in²Total surface area of the room (excluding the floor) in square feet -------------------------------------------------------------------

 Feb 28, 2013 Calculating Area and Volume by: Staff -------------------------------------------------------------------Part II(notice that the units in²/in² cancel one another in the same way two numbers which are equal would cancel one another)How many gallons would be required to paint the room? Painting the room generally does not include the floor. Gallons of paint = (Total surface area in ft²) * (1 gallon)/( ft² covered) total cost to paint the roomCost of Paint = (number of gallons)(cost per gallon) + (sales tax) Cost of Paint = \$24.79Convert your English measurements to metricsLength = Width = Height -------------------------------------------------------------------

 Feb 28, 2013 Calculating Area and Volume by: Staff -------------------------------------------------------------------Part IIIFind the volume in cubic centimeters.Volume = length * width * height If each dimension (length, width, and height) is doubled, what happens to the volume of the room? If every dimension doubles, the new volume is 8 times the original volume. Thanks for writing.Staff www.solving-math-problems.com