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

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gmatt1476
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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   20 Apr 2020, 11:10
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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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D
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   20 Apr 2020, 11:19
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gmatt1476 wrote:
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

    \( 1 cm^3 = 7.3 grams \)
    \(1 m^3 = 1 cm^3 *1000000\)
    \(1 m^3 = 7.3*1000000 grm\)
    \(1 m^3 = 7.3*\frac{1000000}{1000} Kg\)
    \(1 m^3 = 7.3*1000=7300\)
Answer : Option D.
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   21 Apr 2020, 15:12
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gmatt1476 wrote:
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 cubic meter = 1,000,000 cubic centimeters = 7,300,000 grams = 7,300 kilograms.

Answer: D
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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   20 Apr 2020, 15:16
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gmatt1476 wrote:
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

Answer (D).
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   22 Apr 2020, 19:13
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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] New post   31 May 2020, 14:25
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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] New post   29 Oct 2020, 01:51
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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 wrote:
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] New post   21 Apr 2020, 09:47
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 wrote:
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] New post   03 Jan 2021, 04:52
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] New post   11 Feb 2021, 05:43
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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 :thumbsup:
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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   25 Feb 2021, 17:58
Enchanting wrote:
gmatt1476 wrote:
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

    \( 1 cm^3 = 7.3 grams \)
    \(1 m^3 = 1 cm^3 *1000000\)
    \(1 m^3 = 7.3*1000000 grm\)
    \(1 m^3 = 7.3*\frac{1000000}{1000} Kg\)
    \(1 m^3 = 7.3*1000=7300\)
Answer : Option D.



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] New post   15 May 2021, 04:17
Expert Reply
gmatt1476 wrote:
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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Answer: Option D

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Re: If the mass of 1 cubic centimeter of a certain substance is 7.3 grams [#permalink] New post   08 Sep 2023, 18:35
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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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