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# If the volume of a tank is 4,750 cubic centimeters, what is the volume

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Re: If the volume of a tank is 4,750 cubic centimeters, what is the volume [#permalink]
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Tricky question – forces you to stay sharp and understand the specifics of the question.

Step 1: Understand first that if 1 centimeter = 0.01 meter. Then 1 cubic centimeter = 0.01^3 meters.
Step 2: This changes the conversion unit from 1 centimeter = 0.01 meter to 1 cm^3 = 0.01^3
Step 3: Set-up the conversion table accordingly: 0.000001M / 1 CM^3
Step 4: 4,750 * 0.000001 / 1 = 0.00475.
We can therefore conclude that it’s answer choice A.
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Re: If the volume of a tank is 4,750 cubic centimeters, what is the volume [#permalink]
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To not get mixed up, I think it's simpler to write in terms of negative exponents:

1 cm = 1 m * 10^-2
(1 cm)^3 = (1 m * 10^-2)^3
cm^3 = 10^-6 m^3

4750 * 10^-6 m^3 = .00475
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Re: If the volume of a tank is 4,750 cubic centimeters, what is the volume [#permalink]
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If the volume of a tank is 4,750 cubic centimeters, what is the volume of the tank in cubic meters? (1 centimeter = 0.01 meter)

A. 0.00475
B. 0.0475
C. 0.475
D. 4.75
E. 47.5

Solution:

Since 1 cm = 0.01 m, 1 m = 100 cm. Furthermore, 1 m^3 = 100^3 cm^3 = 1,000,000 cm^3. Therefore,

4,750 cm^3 = 4,750 cm^3 x 1 m^3/1,000,000 cm^3 = 0.00475 m^3

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Re: If the volume of a tank is 4,750 cubic centimeters, what is the volume [#permalink]
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Re: If the volume of a tank is 4,750 cubic centimeters, what is the volume [#permalink]
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