Answer :
The third statement is the only correct one: "There are 6.8 kiloliters in 68 hectoliters."
To determine which of the statements about volume conversions is correct, let's analyze each one individually.
There are 0.35 hectoliters in 35 deciliters.
A hectoliter (hL) is 100 liters, and a deciliter (dL) is 0.1 liters.
Therefore, 35 dL = 35 * 0.1 L = 3.5 L.
Converting hectoliters to liters:
[tex]0.35 \, \text{hL} = 0.35 \, \times 100 \, \text{L} = 35 \, \text{L} \[/tex]
This statement is incorrect because 3.5 L is not equal to 35 L.
There are 7.62 centiliters in 762 liters.
A centiliter (cL) is 0.01 liters.
Converting 762 liters to centiliters:
[tex]762 \, \text{L} = 762 \times 100 \, \text{cL} = 76,200 \, \text{cL} \[/tex]
This statement is incorrect because 76,200 cL is not equal to 7.62 cL.
There are 6.8 kiloliters in 68 hectoliters.
A kiloliter (kL) is 1,000 liters and a hectoliter (hL) is 100 liters.
Converting 68 hectoliters to kiloliters:
[tex]68 \, \text{hL} = 68 \times 100 \, \text{L} = 6,800 \, \text{L} \[/tex]
[tex]6,800 \, \text{L} = 6.8 \text{kL} \[/tex]This statement is correct because 68 hL is indeed equal to 6.8 kL.
There are 0.75 deciliters in 7.5 liters.
Converting 7.5 liters to deciliters:
[tex]7.5 \, \text{L} = 7.5 \times 10 \text{dL} = 75 \text{dL} \[/tex]
This statement is incorrect because 75 dL is not equal to 0.75 dL.
Complete Question : which statement is correct. There are 0.35 hectoliters in 35 deciliters. There are 7.62 centiliters in 762 liters. There are 6.8 kiloliters in 68 hectoliters. There are 0.75 deciliters in 7.5 liters.
The following sentence is true: There are 6.8 kiloliters in 68 hectoliters.
Units of Capacity
The unit of a quantity is essential information. There are different units for a specific quantity. The main units of capacity are: milliliter (ml), centiliter (cl), deciliter (dl), liter (l), decaliter (dal), hectoliter (hl) and kiloliter (kl). The SI unit of capacity is the liter (l).
You should know the relation between the units that is shown below, for solving this question.
→ Multiply by 10 (x10)
(kl) (hl) (dal) (l) (dl) (cl) (ml)
← Divide by 10 (÷10)
- There are 0.35 hectoliters in 35 deciliters.
This sentence is false because 0.35 hl = 350dl
- There are 7.62 centiliters in 762 liters.
This sentence is false because 7.62 cl= 0.0762 l
- There are 6.8 kiloliters in 68 hectoliters.
This sentence is true because 6.8kl = 68 hl
- There are 0.75 deciliters in 7.5 liters.
This sentence is false because 0.75 dl= 0.075 l
Read more about the units of capacity at:
https://brainly.com/question/30643656
The complete question is:
Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.
Metric Table
kilo- 1,000
hecto- 100
deka- 10
unit- 1
deci- 0.1
centi- 0.01
milli- 0.001
A. There are 0.35 hectoliters in 35 deciliters.
B. There are 7.62 centiliters in 762 liters.
C. There are 6.8 kiloliters in 68 hectoliters.
D. There are 0.75 deciliters in 7.5 liters.
