Measurement Flashcards

1. 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.

Answer: $166.80

Liters are a standard metric unit for measuring liquid volume, and they are an appropriate scale for the amount of water typically found in a bathtub. Milliliters are too small for a bathtub, while kilograms are a unit of mass and volts measure electrical potential, neither of which is suitable for measuring liquid volume.

2. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?

Answer: 10 yards

First, convert the length of the matchbox from feet to inches. Since 1 foot equals 12 inches, 0.17 feet is 0.17 * 12 = 2.04 inches. Now, compare this decimal value to the fractional inch values in the options. 2 3/16 inches is 2 + 3/16 = 2 + 0.1875 = 2.1875 inches, which is the closest value to 2.04 inches among the choices.

3. What is the volume of the following cylinder?

Answer: 226.20

First, calculate the area of the room in square yards: Area = W * L square yards. Since the cleaning charge is per square foot, convert the area to square feet. There are 3 feet in 1 yard, so 1 square yard = 3 feet * 3 feet = 9 square feet. Thus, the area in square feet is (W * L) * 9. The cost is 10 cents ($0.10) per square foot, so the total cost is (W * L * 9) * $0.10 = $0.90 * W * L, or 0.9WL dollars.

4. What is the volume of a cube whose width is 5 inches?

Answer: 125 cubic inches

4. E: The volume of a cube is represented by the equation, V=s3, where s represents one side length. Substituting 5 for s gives V=53, or V = 125. The volume of the cube is 125 cubic inches.

5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have?

Answer: 9 yd. 7 in.

5. D: The sum of the material is equal to 7 yd, 5 ft, 19 in, which may also be written as 7 yd, 6 ft, 7 in, or 9 ft, 7 in.

6. A can's diameter is 3 inches, and its height is 8 inches. What is the volume of the can?

Answer: 56.55

6. B: The volume of a cylinder is represented by the equation, V=πr2h, where r represents the radius and h represents the height. Substituting 1.5 for r and 8 for h gives V=π(1.5)2 (8), or V = 18π. Thus, the volume is approximately 56.55 cubic inches.

7. If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?

Answer: 16

7. C: The area of a square is represented by the formula, A=s2. Substituting 16 for A gives: 16=s2. Solving for s shows each side length to be 4 feet. Thus, the perimeter is equal to the product of 4 and 4 ft, or 16 ft. 8. B: 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.

8. Of the following units which would be more likely used to measure the amount of water in a bathtub?

Answer: liters

8. B: 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.

9. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?

Answer: 2 3/16 inch staple remover

9. D: A length of 0.17 feet is equal to 2.04 inches. The following proportion may be used to determine the length, in inches: 0.17/x=1/12. A length of 2.1875 inches is the closest to this measurement.

10. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?

Answer: 0.9WL

10. A: 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 or 0.9WL.

11. One inch equals 2.54 cm, How many centimeters tall is a 76 inch man?

Answer: 193.04 cm

To convert a measurement from inches to centimeters, you multiply the number of inches by the conversion factor. Given that 1 inch equals 2.54 cm, a 76-inch man's height in centimeters is 76 * 2.54 cm. This calculation yields 193.04 cm.

12. A room measures 11 ft x 12 ft x 9 ft. What is the volume?

Answer: 1188 ft3

The volume of a rectangular room (or any rectangular prism) is calculated by multiplying its length, width, and height. For a room measuring 11 ft x 12 ft x 9 ft, the volume is 11 * 12 * 9 cubic feet. Performing this multiplication gives 1188 cubic feet.

13. 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?

Answer: 175 mg

To find out how much Calcium is left, you simply subtract the amount lost from the original amount. The vitamin originally contained 500 mg of Calcium and lost 325 mg. Therefore, 500 mg - 325 mg = 175 mg of Calcium are left.

14. You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5-mL dose. How many milliliters will need to be given?

Answer: 25 mL

To determine the total milliliters needed, first find how many 4 mg doses are required: 20 mg / 4 mg/dose = 5 doses. Since each dose is 5 mL, multiply the number of doses by the volume per dose: 5 doses * 5 mL/dose = 25 mL. This calculation ensures the patient receives the correct total medication amount.

15. You need exactly a 1680 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?

Answer: 14 ft x 20 ft x 6 ft

The volume of a rectangular aquarium is calculated by multiplying its length, width, and height (V = L × W × H). For option C, 14 ft × 20 ft × 6 ft, the calculation is 280 ft² × 6 ft = 1680 ft³. This exactly matches the required volume of 1680 ft³, making it the correct choice.

16. One slice of bread is 80 calorie. Approximately how many calories are in 2 ½ slices of bread?

Answer: 200 calories

To find the total calories, you need to multiply the calories per slice by the number of slices. Two and a half slices can be written as 2.5 slices. Therefore, 80 calories/slice * 2.5 slices equals 200 calories. This is a direct multiplication to find the total amount based on a given rate.