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These sample problems below for Area and Volume Conversions were generated by the MathScore.com engine.

Sample Problems For Area and Volume Conversions

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
1.   2000000000 m3 = km3 2.   400 mm2 = cm2

Complexity=10, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
1.   27 ft2 = yd2 2.   8 ft3 = in3

Complexity=10, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
1.   50000 cm2 = m2 2.   6 yd3 = ft3

Complexity=10, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.
1.   3 ft3 = mm3 2.   4 m3 = cm3

Answers

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
12000000000 m3 = km3
Solution

2000000000 m3 ×
( 1 km
1000 m 		)
3
 
 = 2000000000 m3 ×
1 km3
1,000,000,000 m3
= 2 km3
#Correct AnswerYour Answer
2400 mm2 = cm2
Solution

400 mm2 ×
( 1 cm
10 mm 		)
2
 
 = 400 mm2 ×
1 cm2
100 mm2
= 4 cm2

Complexity=10, Mode=english

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
127 ft2 = yd2
Solution

27 ft2 ×
( 1 yd
3 ft 		)
2
 
 = 27 ft2 ×
1 yd2
9 ft2
= 3 yd2
#Correct AnswerYour Answer
28 ft3 = in3
Solution

8 ft3 ×
( 12 in
1 ft 		)
3
 
 = 8 ft3 ×
1,728 in3
1 ft3
= 13824 in3

Complexity=10, Mode=mixed

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
150000 cm2 = m2
Solution

50000 cm2 ×
( 1 m
100 cm 		)
2
 
 = 50000 cm2 ×
1 m2
10,000 cm2
= 5 m2
#Correct AnswerYour Answer
26 yd3 = ft3
Solution

6 yd3 ×
( 3 ft
1 yd 		)
3
 
 = 6 yd3 ×
27 ft3
1 yd3
= 162 ft3

Complexity=10, Mode=complex

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
13 ft3 = mm3
Solution

3 ft3 ×
( 304.8 mm
1 ft 		)
3
 
 = 3 ft3 ×
28,316,846.592 mm3
1 ft3
= 84950539.8 mm3
#Correct AnswerYour Answer
24 m3 = cm3
Solution

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

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