- What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.
- $166.80
- $175.90
- $184.30
- $189.90
- $192.20
The area of the room is equal to the product of 10 ft and 12 ft, or 120 ft2. Since \(120 \text{ ft}^2 = 13.3 \text{ yd}^2\), the total cost is equal to the product of the area of the room and $the cost per square yard. Therefore, it will cost $166.80 to carpet the room.
- If the perimeter of a rectangular house is 44 yards and the length is 36 feet, what is the width of the house?
- 10 yards
- 18 yards
- 28 feet
- 32 feet
- 36 yards
The perimeter of the house is equal to 132 feet, since there are 3 feet in 1 yard. The perimeter of the house may be represented by the equation \(2l + 2w = 132\). Substituting 36 for l gives \(2(36) + 2w = 132\). Solving for \(w\) gives \(w= 30\), which is measured in feet. Since 30 feet is the same as 10 yards, the width of the house is also equal to 10 yards.
- What is the volume of the following cylinder?
- 210.91
- 226.20
- 75.36
- 904.32
- 28.26
The volume of a cylinder is represented by the equation \(V=\pi r^2 h\), where \(r\) represents the radius and \(h\) represents the height.
Substituting 3 for \(r\) and 8 for \(h\) gives \(V=\pi (3)^2 (8) = 72 \pi\). Thus, the volume is approximately 226.20 cubic units.
- What is the volume of a cube with a width of 5 inches?
- 15 cubic inches
- 25 cubic inches
- 64 cubic inches
- 100 cubic inches
- 125 cubic inches
The volume of a cube is represented by the equation \(V=s^3\), where \(s\) represents one side length. Substituting 5 for \(s\) gives \(V=5^3\), which is 125. Therefore, the volume of the cube is 125 cubic inches.
- Camille has three pieces of material. The first piece is 1 yard, 2 feet, and 6 inches long; the second piece is 2 yards, 1 foot, and 5 inches long, and the third piece is 4 yards, 2 feet, and 8 inches long. How much material does Camille have?
- 7 yards, 1 foot, and 8 inches
- 8 yards, 4 foot, and 4 inches
- 8 yards and 11 inches
- 9 yards and 7 inches
- 10 yards
The sum of the material is equal to 7 yards, 5 feet, and 19 inches, which equals 9 feet and 7 inches.
- A can’s diameter is 3 inches and its height is 8 inches. What is the volume of the can?
- 50.30 in3
- 56.55 in3
- 75.68 in3
- 113.04 in3
- 226.08 in3
The volume of a cylinder is represented by the equation \(V=\pi r^2h\), where \(r\) represents the radius and \(h\) represents the height.
Substituting 1.5 for \(r\) and 8 for \(h\) gives \(V=\pi(1.5)2 (8) = 18\pi\). Thus, the volume is approximately 56.55 cubic inches.
- If the area of a square flower bed is 16 square feet, then how many feet is the perimeter of the flower bed?
- 4
- 12
- 16
- 20
- 24
The area of a square is represented by the formula \(A=s^2\). Substituting 16 for \(A\) gives \(16=s^2\). Solving for \(s\) shows each side length to be 4 feet. Thus, the perimeter is equal to the product of 4 and 4, which 16.
- Of the following units, which would be more likely used to measure the amount of water in a bathtub?
- Kilograms
- Liters
- Milliliters
- Centigrams
- Volts
Liters measure capacity and are appropriate for the size of a bathtub. Milliliters are also a measurement of capacity but are too small a measurement for such a large container.
- What is the cost in dollars to steam clean a room \(W\) yards wide and \(L\) yards long if the steam cleaners charge 10 cents per square foot?
- \(0.9WL\)
- \(0.3WL\)
- \(0.1WL\)
- \(9WL\)
- \(3WL\)
The area may be represented as \(A = WL\) measured in yards, or \(A = 9WL\) measured in feet. Thus, the charge is equal to the product of \(9WL\) and 0.10, which is \(0.9WL\).
- If a person is 76 inches tall, how tall are they in centimeters?
- 20 cm
- 29.92 cm
- 193.04 cm
- 300.04 cm
- 593.04 cm
The following proportion may be used to find the measurement in centimeters:
\(\frac{1}{2.54}=\frac{76}{x}\)
Solving for \(x\) gives \(x = 193.04\). Therefore, the man is 193.04 cm tall.
- A room measures 11 ft × 12 ft × 9 ft. What is the volume?
- 1,188 ft3
- 32 ft3
- 120 ft3
- 1,300 ft3
- 1,350 ft3
The volume of a rectangular prism is equal to the product of the length, width, and height. Thus, the volume of the room may be represented as \(V=11 \times 12.9\), which equals 1,188 ft3.
- A vitamin’s expiration date has passed. It was supposed to contain 500 mg of calcium, but it has lost 325 mg of calcium. How many mg of calcium are left?
- 135 mg
- 175 mg
- 185 mg
- 200 mg
- 220 mg
The number of mg left is equal to the difference of 500 mg and 325 mg, which is 175 mg.
- You need exactly a 1,680 ft3 aquarium for your fish. At the pet store, you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?
- 12 ft × 12 ft x 12 ft
- 13 ft × 15 ft × 16 ft
- 14 ft × 20 ft × 6 ft
- 15 ft × 16 ft × 12 ft
- 15 ft × 12 ft × 12 ft
The product of these dimensions is 1,680 ft3 (14 ft x 20 ft x 6 ft), thus this aquarium meets the required volume.
- One slice of bread contains 80 calories. Approximately how many calories are in 2\(\frac{1}{2}\) slices of bread?
- 140 calories
- 200 calories
- 220 calories
- 240 calories
- 260 calories
The following proportion may be used to find the number of calories in 2\(\frac{1}{2}\) slices of bread:
\(\frac{1}{80}=\frac{2\frac{1}{2}}{x}\)
Solving for \(x\) gives \(x = 200\).