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Area and Volume Conversions Metric - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

1.   100 mm2 = cm2
2.   1000000000 m3 = km3

Complexity=5, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

1.   3000000000 m3 = km3
2.   4000000 cm3 = m3

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

1.   1 km2 = m2
2.   8000 mm3 = cm3

Answers


Complexity=1, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

#Correct AnswerYour Answer
1100 mm2 = cm2
Solution

100 mm2 ×
( 1 cm
10 mm
)
2
 
= 100 mm2 ×
1 cm2
100 mm2
= 1 cm2
#Correct AnswerYour Answer
21000000000 m3 = km3
Solution

1000000000 m3 ×
( 1 km
1000 m
)
3
 
= 1000000000 m3 ×
1 km3
1,000,000,000 m3
= 1 km3

Complexity=5, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

#Correct AnswerYour Answer
13000000000 m3 = km3
Solution

3000000000 m3 ×
( 1 km
1000 m
)
3
 
= 3000000000 m3 ×
1 km3
1,000,000,000 m3
= 3 km3
#Correct AnswerYour Answer
24000000 cm3 = m3
Solution

4000000 cm3 ×
( 1 m
100 cm
)
3
 
= 4000000 cm3 ×
1 m3
1,000,000 cm3
= 4 m3

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.

#Correct AnswerYour Answer
11 km2 = m2
Solution

1 km2 ×
( 1000 m
1 km
)
2
 
= 1 km2 ×
1,000,000 m2
1 km2
= 1000000 m2
#Correct AnswerYour Answer
28000 mm3 = cm3
Solution

8000 mm3 ×
( 1 cm
10 mm
)
3
 
= 8000 mm3 ×
1 cm3
1,000 mm3
= 8 cm3
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