Job Related Services Quiz 3: Area and Volume

The standard baseball measures 2 11/16" in diameter. What is its volume (to the nearest hundredth)? __________cu. in.

10.16

Use the following information to answer the question. The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. What is the area of the carpet? __________sq. ft.

108

Compute the following surface area. A pyramid has base edges that measure 6 meters, and a slant height of 7.5 meters. What is its surface area? __________sq. meters

126

Refer to the graphic above to answer the question. What is the surface area of the sides and closed rectangular end? _________ sq. ft.

165

Solve the application. A mason's assistant's rate of pay is $0.75 per cubic foot of earth moved. He moves 220 cubic feet of earth to dig a trench. What is his pay for this job? $_________

165

Use the following information to answer the question. The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. What is the area of the area NOT covered by the carpet? _________sq. ft.

192

Compute the following volume. A tool box is a rectangular solid with sides of 19 in., 12 in., and 9 in. What is its volume? __________cubic inches

2052

Compute the following surface area. A rectangular solid has sides of 6 cm, 8 cm, and 10 cm. What is its surface area? _________square centimeters

376

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks measure 8" long by 3 1/2" wide by 2 1/2" high, you decide to build each column by laying the bottom row of bricks as shown. How much ground area will be covered by the first row of bricks laid (both columns) as shown above? _________ sq. in.

448

Perform the following area application. (Round to the nearest tenth.) A hot water heater measures 20" in diameter. What is the area of a metal base for the water heater, assuming a two-inch overhang for the base beyond the edge of the heater? A = _________square inches

452.2

Find the surface area of the toy bus pictured below whose sides are 4.5 cm, 6.8 cm, and 18.2 cm (to the nearest hundredth)? Surface area =__________cm2

472.52

A cube has a surface area of 181.5 sq. in. What is the length of its sides? _________inches

5.5

Find the volume and solve the application. A mason is putting in the foundation for a wall. His assistant digs a trench in roughly the shape of a rectangular solid measuring 50 ft. in length, 12 inches deep along both sides, and 12 inches wide at the top and bottom. How many cubic feet of earth did he remove (to the nearest tenth)? __________cubic feet

50.0

Find the volume and solve the application. A steel post is 6 ft. long and 6" thick in diameter. If a cubic foot of steel weighs 490 lb., how much does the rod weigh (to the nearest pound)? __________pounds

577

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks measure 8" long by 3 1/2" wide by 2 1/2" high, you decide to build each column by laying the bottom row of bricks as shown. How many rows of bricks will it take to complete each column? ________rows of bricks

60

Use the following information to answer the question. The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. What is the area of the area NOT covered by the carpet? __________sq. ft.

768

Refer to the graphic above to answer the question. How many roof panels are required? ________roof panels Hint: Divide the area of the roof by the area of a roof panel. If this number is a decimal, round up to the nearest whole number to find the number of roof panels needed. (e.g. 14.023 means 15 roof panels would be needed.

8

Perform the following area application If 600 bricks measuring 12" by 18" are required to build a wall 10 ft. high (one brick thick), how long is the wall? _________ft.

90

Perform the following area application. Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft. __________tiles

972

Choose true or false. Family privacy in not a major issue in home design. True False

False

The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capacity of the ice cream cone and its surface area (to the nearest hundredth)? Surface Area =__________ cm2 Volume =__________ cm3

Surface Area = 71.44cm2 Volume = 70.26cm3

You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in., how many bricks will you need?(Remember to round up.) Total volume (to the nearest tenth) =_________ cubic feet. The number of bricks =_________

Total volume (to the nearest tenth) = 39.9 cubic feet. The number of bricks = 1436

Choose the best answer. The architect considers many aspects when he designs a house. If one had to name just one aspect that would sum up all these considerations, it would be: economy flexibility livability house size

livability