Math Practice Online > free > lessons > Florida > 9th grade > Area and Volume Conversions

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

### Complexity=10, Mode=metric

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

2000000000 m3 ×
( 1 km
1000 m
)
 3
= 2000000000 m3 ×
 1 km31,000,000,000 m3
= 2 km3
2400 mm2 = cm2
Solution

400 mm2 ×
( 1 cm
10 mm
)
 2
= 400 mm2 ×
 1 cm2100 mm2
= 4 cm2

### Complexity=10, Mode=english

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

27 ft2 ×
( 1 yd
3 ft
)
 2
= 27 ft2 ×
 1 yd29 ft2
= 3 yd2
28 ft3 = in3
Solution

8 ft3 ×
( 12 in
1 ft
)
 3
= 8 ft3 ×
 1,728 in31 ft3
= 13824 in3

### Complexity=10, Mode=mixed

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

50000 cm2 ×
( 1 m
100 cm
)
 2
= 50000 cm2 ×
 1 m210,000 cm2
= 5 m2
26 yd3 = ft3
Solution

6 yd3 ×
( 3 ft
1 yd
)
 3
= 6 yd3 ×
 27 ft31 yd3
= 162 ft3

### Complexity=10, Mode=complex

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

3 ft3 ×
( 304.8 mm
1 ft
)
 3
= 3 ft3 ×
 28,316,846.592 mm31 ft3
= 84950539.8 mm3
24 m3 = cm3
Solution

4 m3 ×
( 100 cm
1 m
)
 3
= 4 m3 ×
 1,000,000 cm31 m3
= 4000000 cm3

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