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Answer :
Final answer:
Cubic decimeter and liter, as well as cubic centimeter and milliliter, are the only pairs of equivalent units among the options provided. This is because their volumes are defined based on the length measures of decimeters and centimeters respectively.
Explanation:
The question asks which pairs of units of measurement are equivalent to each other. From the given options:
- Cubic decimeter and liter are equivalent because 1 dm³ is defined as the volume of a cube with edges of 1 decimeter each, which is exactly the same volume as 1 liter.
- Cubic centimeter and milliliter are equivalent because 1 cm³ is the volume of a cube with edges of 1 centimeter each, which is also the volume of 1 milliliter.
The other options given are not equivalent pairs:
- Decimeter is a unit of length whereas liter is a unit of volume.
- Quart and liter are not exactly equivalent, but 1 liter is about 1.06 quarts, according to the provided information.
- Millimeter is a unit of length and deciliter is a unit of volume, making them not equivalent.
- Gram is a unit of mass whereas ounce is also a unit of mass, but they are not equivalent; one gram is approximately 0.035274 ounces.
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Answer:
The correct options are:
- cubic decimeter and liter
- cubic centimeter and milliliter
Step-by-step explanation:
1) The 1 cubic decimeter is equal to the 1 liter.
[tex]dm^3= 1 L[/tex]
2) The 1 cubic centimeter is equal to the 1 milliliter.
[tex]cm^3=1 mL[/tex]
3) Since,1 cubic decimeter is equal to the 1 liter.
So,[tex]dm\neq 1L[/tex]
4) Since, 1 quart = 0.946353 L
[tex]quart\neq liter[/tex]
5) Since,The 1 cubic centimeter is equal to the 1 milliliter.
So, 1 millimeter ≠ 1 deciliter
6) Since,1 gram = 0.035274 ounces
So, 1 gram ≠ 1ounce
