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What is the approximate capacity of the cube in liters? 75mm 75mm 75mm -cube

42.2 L
4.22 L
0.422 L
422 L

1 Answer

4 votes

Answer:

0.422 L

Explanation:

A little-used fact is that a liter is a cubic decimeter. The dimensions of your cube are ...

edge length = 75 mm = 75/1000 m

Since a decimeter is 1/10 of a meter, we want the denominator to be 10. Moving the numerator and denominator decimal points 2 places to the left, we get ...

edge length = 0.75/10 m = 0.75 dm

Then the volume of the cube is ...

V = (0.75 dm)^3 = 0.422 dm^3 = 0.422 L

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