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9.6.5: Chapter Review

  • Page ID
    129638
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    The Metric System

    For the following exercises, determine the base unit of the metric system described: liter, gram, or meter.

    Exercise \(\PageIndex{1}\)

    amount of juice in a carton

    Exercise \(\PageIndex{2}\)

    weight of a puppy

    Exercise \(\PageIndex{3}\)

    height of a wall

    For the following exercises, choose the smaller of the two units.

    Exercise \(\PageIndex{4}\)

    hectogram or centigram

    Exercise \(\PageIndex{5}\)

    decameter or kilometer

    Exercise \(\PageIndex{6}\)

    milliliter or deciliter

    Exercise \(\PageIndex{7}\)

    Convert 236 cm to meters (m).

    Exercise \(\PageIndex{8}\)

    Convert 137.5 mg to grams (g).

    Exercise \(\PageIndex{9}\)

    You purchase 15 kg of birdseed. You divide the birdseed into 10 bags. How many grams of birdseed are in each bag?

    Exercise \(\PageIndex{10}\)

    A track is 650 m long. If you run 8 laps around the track, how many kilometers did you run?

    Measuring Area

    For the following exercises, determine the most reasonable value for each area.

    Exercise \(\PageIndex{11}\)

    bedroom floor
    12 km2
    12 m2
    12 cm2
    12 mm2

    Exercise \(\PageIndex{12}\)

    nature preserve
    800 km2
    800 m2
    800 cm2
    800 mm2

    Exercise \(\PageIndex{13}\)

    desk surface
    0.125 km2
    0.125 m2
    0.125 cm2
    0.125 mm2

    For the following exercises, convert the given area to the units shown.

    Exercise \(\PageIndex{14}\)

    650,000 cm2 = __________ m2

    Exercise \(\PageIndex{15}\)

    17 m2 = __________ cm2

    Exercise \(\PageIndex{16}\)

    759 cm2 = __________ mm2

    Exercise \(\PageIndex{17}\)

    A laptop is 30 cm by 20 cm. A sticker on the laptop cover measures 15 mm by 15 mm. How many square centimeters of the laptop cover is still visible?

    Exercise \(\PageIndex{18}\)

    A dining room wall is 2.75 m by 2.25 m. A window on the wall is 0.75 m by 1.5 m. How many square meters is the surface of the wall?

    Exercise \(\PageIndex{19}\)

    A floor is 6 m by 4 m. A rug on the floor measures 200 cm by 100 cm. How much of the floor, in m2, is not covered by the rug?

    Exercise \(\PageIndex{20}\)

    A ceiling is 4 m by 2.5 m. A skylight in the ceiling measures 75 cm by 80 cm. How much of the ceiling, in m2, would need to be painted if you decide to change the color of the ceiling?

    Measuring Volume

    For the following exercises, determine the most reasonable value for each volume.

    Exercise \(\PageIndex{21}\)

    aquarium
    65,750 km3
    65,750 m3
    65,750 cm3
    65,750 mm3

    Exercise \(\PageIndex{22}\)

    carton of soup
    94,000 L
    94 L
    940,000 mL
    940 mL

    Exercise \(\PageIndex{23}\)

    gift box
    6,250 km3
    6,250 m3
    6,250 cm3
    6,250 mm3

    For the following exercises, convert the given volume to the units shown.

    Exercise \(\PageIndex{24}\)

    59,837 mm3 = __________ cm3

    Exercise \(\PageIndex{25}\)

    12.5 dm3 = __________ mL

    Exercise \(\PageIndex{26}\)

    368 cm3 = __________ mm3

    Exercise \(\PageIndex{27}\)

    A box has dimensions of \(15\,{\text{cm}} \times 10\,{\text{cm}} \times 25\,{\text{cm}}\). The box currently holds 1,750 cm3 of black beans. How many cubic centimeters of black beans are needed to completely fill the box?

    Exercise \(\PageIndex{28}\)

    The dimensions of a small storage unit are \(3\,{\text{m}} \times 3{\text{m}} \times 3\,{\text{m}}\). What is the volume of a medium storage area with dimensions twice the size of the small unit?

    Exercise \(\PageIndex{29}\)

    How much liquid, in liters, can a container with dimensions of \(35\,{\text{cm}} \times 15\,{\text{cm}} \times 20\,{\text{cm}}\) hold?

    Exercise \(\PageIndex{30}\)

    A box is 20 cm long and 15 cm wide. The volume of the box is 2,100 cm3. What is the height of the box?

    Measuring Weight

    Exercise \(\PageIndex{31}\)

    What is the most reasonable estimate for the weight of a small stack of coins?
    120 mg
    12 g
    1.2 kg
    0.12 mt

    For the following exercises, convert the given weight to the units shown.

    Exercise \(\PageIndex{32}\)

    7,900 g = __________ kg

    Exercise \(\PageIndex{33}\)

    81 g = __________ mg

    Exercise \(\PageIndex{34}\)

    0.12 kg = __________ g

    For the following exercises, determine the total weight in the units shown.

    Exercise \(\PageIndex{35}\)

    four 450 mg tablets ________ g

    Exercise \(\PageIndex{36}\)

    six 45 g candy bars ________ kg

    Exercise \(\PageIndex{37}\)

    seven 1.5 g buttons ________ mg

    Exercise \(\PageIndex{38}\)

    A box of chocolate weighs 2.75 kg. If you share the candy bar equally with 5 friends, how many grams of chocolate does each person get?

    Exercise \(\PageIndex{39}\)

    You purchase 15 tomatoes that weigh 100 grams each. If tomatoes cost $1.18 per kilogram, how much did you pay?

    Exercise \(\PageIndex{40}\)

    A value-size package of ground chicken costs $23.00. The package weighs 2.5 kg. What is the cost per gram of the chicken?

    Measuring Temperature

    For the following exercises, convert the temperatures to the nearest degree.

    Exercise \(\PageIndex{41}\)

    365 °F = __________ °C

    Exercise \(\PageIndex{42}\)

    42 °C = __________ °F

    Exercise \(\PageIndex{43}\)

    575 °F = __________ °C

    Exercise \(\PageIndex{44}\)

    135 °C = __________ °F

    Exercise \(\PageIndex{45}\)

    –20 °F = __________ °C

    Exercise \(\PageIndex{46}\)

    73 °C = __________ °F

    Exercise \(\PageIndex{47}\)

    The temperature of a welder’s torch increases 1,112 ºF every 3 minutes. About how many minutes does it take for the torch to increase 1,200 ºC?

    Exercise \(\PageIndex{48}\)

    A substance is heated to 302 ºF. As the substance cools the temperature drops 4 ºC every 3 minutes. How many minutes until the temperature of the water reaches 130 ºC?

    Exercise \(\PageIndex{49}\)

    On November 1 the temperature was 40 ºF. On December 1 the temperature was 7 ºC. Which day was cooler?

    Exercise \(\PageIndex{50}\)

    The instructions to cook lasagna say to set the oven at 475 ºF. To the nearest degree, what is the temperature in degrees Celsius?


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