Question

(h) volume of the box in cubic centimeters
____ x __ x __ = ____
(measure to the nearest centimeter before multiplying.)

1. find the length of an unsharpened pencil (including eraser) in millimeters. ______
2. what is your height in centimeters? ____ what is your height in meters? ____
3. find the distance between the two index cards in the hallway in meters. ______
4. use your shoe and a metric ruler to complete this section. keep your shoes on for this one!

(a) what is the length of your shoe to the nearest centimeter? ______
(b) how many shoes would it take (heel to toe) to make 1 meter? ______
(c) how many shoes would it take to make 1 kilometer? ______

1. use ten pennies and a metric ruler to complete this section.

(a) how tall is a stack of ten pennies in centimeters? ______
(b) how tall would a stack of 100 pennies be in centimeters? ______
(c) how tall would a stack of 1000 pennies be in centimeters? ______

1. circle the best metric unit for each.

(a) the length of an eyelash mm cm m km
(b) the height of a flagpole mm cm m km
(c) the length of a strand of spaghetti mm cm m km
(d) the distance from chicago, il, to peoria, il. mm cm m km

Explanation:

Step1: For the volume of the box (question h)

Measure length (l), width (w), and height (h) of the box to the nearest centimeter. Then use the volume formula $V = l\times w\times h$.

Step2: For the length of the pencil (question 5)

Use a metric ruler to measure the length of an un - sharpened pencil (including eraser) in millimeters.

Step3: For height (question 6)

Use a measuring tape or a wall - mounted ruler to measure height in centimeters and then convert to meters using the conversion factor $1m = 100cm$.

Step4: For the distance between index cards (question 7)

Use a metric ruler or measuring tape to measure the distance in meters.

Step5: For shoe length (question 8a)

Use a metric ruler to measure the length of the shoe to the nearest centimeter.

Step6: For number of shoes to make 1 meter (question 8b)

Divide 100 cm (1 meter) by the length of the shoe in centimeters. Let the shoe length be $s$ cm, then the number of shoes $n=\frac{100}{s}$.

Step7: For number of shoes to make 1 kilometer (question 8c)

Since 1 km = 100000 cm, divide 100000 by the length of the shoe in centimeters. Let the shoe length be $s$ cm, then the number of shoes $n=\frac{100000}{s}$.

Step8: For stack of pennies (question 9a)

Use a metric ruler to measure the height of a stack of ten pennies in centimeters.

Step9: For stack of 100 pennies (question 9b)

Since the height of 100 pennies is 10 times the height of 10 pennies. If the height of 10 pennies is $h_{10}$ cm, then the height of 100 pennies $h_{100}=10h_{10}$.

Step10: For stack of 1000 pennies (question 9c)

Since the height of 1000 pennies is 100 times the height of 10 pennies. If the height of 10 pennies is $h_{10}$ cm, then the height of 1000 pennies $h_{1000}=100h_{10}$.

Step11: For choosing metric units (question 10)

(a) The length of an eyelash is best measured in mm as it is a very small length.
(b) The height of a flagpole is best measured in m as it is a relatively large but not extremely large length.
(c) The length of a strand of spaghetti is best measured in cm or m depending on its length, but cm is more appropriate for a single strand usually.
(d) The distance from Chicago, IL, to Peoria, IL is best measured in km as it is a long distance.

Answer:

h) Depends on measured values of length, width and height of the box.

1. Depends on actual measurement.
2. Depends on actual measurement (in cm and then convert to m).
3. Depends on actual measurement.

8a) Depends on actual measurement.
8b) Depends on shoe length measurement.
8c) Depends on shoe length measurement.
9a) Depends on actual measurement.
9b) Depends on measurement of 10 - penny stack.
9c) Depends on measurement of 10 - penny stack.
10a) mm
10b) m
10c) cm
10d) km