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

Question

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

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

PS49140.02

ScottTargetTestPrep · Accepted Answer

1 cubic meter = 1,000,000 cubic centimeters = 7,300,000 grams = 7,300 kilograms.

Answer: D

Enchanting · Answer

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.

lacktutor · Answer

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).

Archit3110 · Answer

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

sofiase93 · Answer

Option D
(1,000,000/1,000)*7.3 = 7,300

perfectreview · Answer

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

prashant0099 · Answer

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

eman22 · Answer

Shortcut 1 g/cm3 to kg/m3 = 1000 kg/m3

7.3 * 1000 = 7,300

CrackverbalGMAT · Answer

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)

Anthony99 · Answer

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.

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=dMTp62vc5qU

nimishb23 · Answer

Since it is given that 1,000,000 cm^3= 1m^3, we can multiply 7.3 into 1,000,000

7.3*1,000,000=7,300,000 cm^3=1m^3

7,300,000/1000= 7,300

Hence Option D.

Usernamevisible · Answer

The question is NOT saying:

convert 7.3 cm3 into m3

It is saying:

1 cm3 of substance has a mass of 7.3 g

That is completely different.

So we multiply while converting

but notice 7.3 is to be converted from grams (7.3 is given in grams) then we divide.

Very important learning

Detailed thing

# Core Learning

There are 2 completely different operations happening in this question:

1. Scaling up physical quantity → MULTIPLY
2. Unit conversion of same quantity → usually DIVIDE when going small → big

Your confusion came from mixing these two.

--------------------------------------------------

# Step 1 — Understand the meaning of

1 cm^3 → 7.3 g

This does NOT mean:

7.3 cm^3

It means:

EVERY cubic centimeter weighs 7.3 grams.

This is a per-unit relationship.

Like:

- 1 apple → 7.3 g
- 1 ticket → ₹500
- 1 worker → $100

So if the number of units increases, total also increases.

--------------------------------------------------

# Step 2 — Understand

1 m^3 = 1,000,000 cm^3

This is a pure volume conversion.

It means:

one big cube contains 1,000,000 tiny cubes.

So now we know:

1 m^3

contains:

1,000,000 little cm^3

--------------------------------------------------

# Step 3 — Connect both ideas

Each little cube weighs:

7.3 g

And there are:

1,000,000

of them.

So total mass:

1,000,000 × 7.3
= 7,300,000 g

Why multiply?

Because mass is accumulating.

It is:

7.3 + 7.3 + 7.3 + ...

1,000,000 times.

--------------------------------------------------

# Step 4 — Convert grams to kilograms

Now we have:

7,300,000 g

and:

1 kg = 1000 g

We want kilograms.

Since grams are the smaller unit:

- small → big
- divide

7,300,000 ÷ 1000
= 7300 kg

--------------------------------------------------

# FINAL ANSWER

7300

Option D.

--------------------------------------------------

# MOST IMPORTANT MEMORY RULE

## A. When to MULTIPLY

When the statement means:

EACH unit contributes this much

Examples:

- each apple weighs 5 g
- each ticket costs ₹100
- each cm^3 weighs 7.3 g

More units ⇒ more total.

So multiply.

--------------------------------------------------

## B. When to DIVIDE

When converting the SAME quantity from smaller unit → bigger unit.

Examples:

80 cm → m

80 ÷ 100 = 0.8 m

because:

100 cm = 1 m

Also:

7,300,000 g → kg

7,300,000 ÷ 1000

because:

1000 g = 1 kg

--------------------------------------------------

# The Exact Difference in THIS Question

## cm^3 → m^3 part

1 m^3 = 1,000,000 cm^3

This was ONLY used to find:

how many tiny cubes exist

NOT to convert 7.3.

It gave a COUNT of units.

--------------------------------------------------

## g → kg part

1000 g = 1 kg

Here we are converting the SAME mass quantity into larger units.

So we divide.

--------------------------------------------------

# Fast Mental Test for Future

Ask:

“Am I accumulating totals?”

If YES → multiply.

OR

“Am I only renaming the same quantity into a bigger unit?”

If YES → divide.

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

Prep Toolkit

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My Rewards