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# If the mass of 1 cubic centimeter of a certain substance is 7.3 grams

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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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gmatt1476
If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

(A) 0.0073
(B) 0.73
(C) 7.3
(D) 7,300
(E) 7,300,000

PS49140.02

$$1 cm^{3}= 7.3$$ grams
$$1 m^{3}= 100^{3}$$ $$cm^{3}= 10^{6}$$ $$cm^{3}$$

—> $$10^{6}$$ $$cm^{3}$$= $$10^{6}*7.3$$= $$73*10^{5}$$ grams

—> $$\frac{73*10^{5}}{10^{3}}= 7300$$ kg

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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
1 m^3 = 10^6 cm^3
given
1 cm^3 =7.3 gms
0r say 7.3 *10^-3 kgs

1 cm^3 = 10^-6m^3
10^-6 m^3 = 7.3*10^-3
1 m^3 = 7.3*10^3
=> 7300
OPTION D

gmatt1476
If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

(A) 0.0073
(B) 0.73
(C) 7.3
(D) 7,300
(E) 7,300,000

PS49140.02
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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Option D
(1,000,000/1,000)*7.3 = 7,300
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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Given $$1cm^{3} = 7.3 grams$$

$$(1m)^{3}$$ = $$(100cm)^{3}$$ = $$1000000cm^{3}$$

If $$1cm^{3} = 7.3 grams$$

Then $$1000000cm^{3}$$ $$= 7.3*1000000 = 7300000 grams$$

In kg = $$\frac{7300000}{1000} = 7300 Kg$$
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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Determine the mass, in kilograms, of 1 cubic meter of a substance if the mass of 1 cubic centimeter of this substance is 7.3 grams.

1 cubic meter is 1,000,000 cubic centimeters and each cubic centimeter has a mass of 7.3 grams, so 1 cubic meter has a mass of 7.3(1,000,000) = 7,300,000 grams. Then, since 1 kilogram = 1,000 grams, 7,300,000 grams =
7300000/1000 = 7300

gmatt1476
If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

(A) 0.0073
(B) 0.73
(C) 7.3
(D) 7,300
(E) 7,300,000

PS49140.02
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
Shortcut 1 g/cm3 to kg/m3 = 1000 kg/m3

7.3 * 1000 = 7,300
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
Top Contributor
SOLUTION:

Given,1 cubic meter = 1,000,000 cubic centimeters

= 7.3 x 1,000,000 grams (1 cubic centimeter of a certain substance is 7.3 grams,(given))

= 7.3 x 1000 kg (1kg=1000 grams given)

=7300 kg (OPTION D)

Hope this helps
Devmitra Sen(Math)
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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gmatt1476
If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

(A) 0.0073
(B) 0.73
(C) 7.3
(D) 7,300
(E) 7,300,000

PS49140.02
$$1 cm^3 = 7.3 grams$$
$$1 m^3 = 1 cm^3 *1000000$$
$$1 m^3 = 7.3*1000000 grm$$
$$1 m^3 = 7.3*\frac{1000000}{1000} Kg$$
$$1 m^3 = 7.3*1000=7300$$

Question:
1) how did you go from 1m^3 = 7.3 * 1,000,000grm to
2) 1m^3 = 7.3kg * (1,000,000cm / 1,000g)?

What was the reasoning you took to go from 1) to 2)? What was your reasoning for dividing 1,000g from 1,000,000cm? This is the part I am lost on.
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
gmatt1476
If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

(A) 0.0073
(B) 0.73
(C) 7.3
(D) 7,300
(E) 7,300,000

PS49140.02

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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink]
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