Metric System Practice Problems

 

These problems are for extra practice using the metric system.  These problems are similar to problems, which may appear on your first quiz or exam.  Answers are below.

 

Length

1.  How many centimeters are in 1 meter?

 

2.  How many centimeters are in 1.2 meters?

 

3.  How many meters are in 520 centimeters?

 

4.  How many meters are in 5.6 kilometers?

 

5.  How many millimeters are in 1 kilometer?

 

Mass

 

6.  How many grams are in 1 kilogram?

 

7.  You have a rock that is 420 grams, how many kilograms is the rock?

 

8.  You have an object that is 100 grams, record this in the standard SI unit for mass.

 

Weight

 

Use the table below to help answer these questions.

 

Relative Gravity Chart

Planet

Relative Gravity

Mercury

0.38

Venus

0.92

Earth

1.00

Mars

0.38

Jupiter

2.54

Saturn

1.06

Uranus

0.92

Neptune

1.20

Pluto

0.23

THE MOON

1/6 or 0.167

9.  An object is 100 kilograms and is on Earth, what is its weight?

 

10.  An object is 2000 grams on Earth, what is its weight?

 

11.  A person weighs 50 Newtons on Earth, what is their weight on Neptune? on Saturn? or the Moon?

 

Area

 

12.  A table is 100 cm long and 200 cm wide, what is its surface area?

 

13.  A room is 25 meters long and 30 meters wide, what is the surface area of the floor?

 

 

Volume

 

14.  A room is 25 meters long, 30 meters wide, and 5 meters high, how much air is in the room?

 

15.  A rock is placed in water and displaces 45 mL, what is the volume of this rock?

 

Density

 

16.  An object is placed in freshwater and sinks, what is it's density?

 

17.  An object has a mass of 20 kilograms and displaces 1000 mL of water, what is its density?

 

Temperature

 

18.  The room is 80 degrees Fahrenheit. What is the temp in Kelvin?

 

NOTE:  the correct formulas are                       You should have corrected these in your notes, per the announcement in class.

F = 9/5 (C)+ 32

 

C = 5/9 (F-32)

 

K = C + 273

 

 

 

 

Answers

1.  100 cm                    2.  120 cm                                3.  5.2 m                                  4.  5600 m

5.  1,000,000 mm         6.  1000 g                                7.  0.42 kg (revised)                 8.  0.1 kg

9.  980 N                     10.  19.6 N                              11.  60 N, 53 N, 8.3 N            12.  20,000 cm2

13.  750 m2                        14.  3750 m3  (Revised)                       15.  45 cm3                                        16.  greater than 1.0 g/cm3

17.  20 g/cm3 (Revised)       18.  359 K