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Director  Joined: 01 May 2007
Posts: 646
If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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Difficulty:   15% (low)

Question Stats: 75% (00:56) correct 25% (00:55) wrong based on 723 sessions

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If 10 millimeters equal 1 centimeter, how many square centimeters does 1 square millimeter equal?

A. 0.01
B. 0.1
C. 1
D. 10
E. 100
CEO  Joined: 07 Jul 2004
Posts: 3538
Location: Singapore

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10mm = 1cm
100mm^2 = 1cm^2

1mm^2 = 1/100cm^2
Intern  Joined: 31 Aug 2012
Posts: 5
Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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Good explanation ywilfred. As a viewer I forget algebra rules myself; whatever is done to one side you must do to the other. In this case square both sides, then to see 1mm^2 you must divide by 100.
Math Expert V
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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Manager  Joined: 23 Jan 2013
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Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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4
1 mm = 0.1 cm

hence 1 mm^2 == 0.1*0.1 == 0.01 cm^2
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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jimmyjamesdonkey wrote:
If 10 millimeters equal 1 centimeter, how many square centimeters does 1 square millimeter equal?

A. 0.01
B. 0.1
C. 1
D. 10
E. 100

Check other Conversion problems to practice in Special Questions Directory.
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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10 mm = 1 cm

$$1 mm = \frac{1}{10} cm$$

$$1 mm^2 = \frac{1}{10^2} cm^2$$

$$1 mm^2 = 0.01 cm^2$$

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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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10 mm = 1 cm
1 mm = 1/10 cm

Because is sq:

1 sq mm = 1/100 sq cm
1 sq mm = 0.01 sq cm
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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what exactly do they mean by square cm and square mm. that's the only part of the problem throwing me off. if they gave concrete numbers id understand
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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Hi btan219,

This is an example of a 'unit conversion' question. A number of questions on Test Day involve unit conversions (e.g. dollars to cents, hours to minutes, feet to inches, etc.).

Square centimeters and square millimeters are just different ways to measure area.

If you're not a big fan of the metric system, then try the following example:

1) Draw a 1 foot by 1 foot square. This is a "square foot" of area.
2) Since there are 12 inches in 1 foot, you can relabel the two measurements as "12 inches" and "12 inches"
3) 12 x 12 = 144, so this same space = 1 square foot = 144 square inches.

The exact same idea appears here, but we're dealing with metric measurements. Try drawing another picture, but using centimeters and millimeters (instead of feet and inches).

GMAT assassins aren't born, they're made,
Rich
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If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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EMPOWERgmatRichC wrote:
Hi btan219,

This is an example of a 'unit conversion' question. A number of questions on Test Day involve unit conversions (e.g. dollars to cents, hours to minutes, feet to inches, etc.).

Square centimeters and square millimeters are just different ways to measure area.

If you're not a big fan of the metric system, then try the following example:

1) Draw a 1 foot by 1 foot square. This is a "square foot" of area.
2) Since there are 12 inches in 1 foot, you can relabel the two measurements as "12 inches" and "12 inches"
3) 12 x 12 = 144, so this same space = 1 square foot = 144 square inches.

The exact same idea appears here, but we're dealing with metric measurements. Try drawing another picture, but using centimeters and millimeters (instead of feet and inches).

GMAT assassins aren't born, they're made,
Rich

im still not understand what they mean by square cm and square mm... how much is a square cm compared to a regular cm?

edit: ok i just kept reading your post until something clicked in my head. let me see if i understand this-

1cm by 1cm = 10mm by 10mm which is 100 square mm. since the area in cm is still 1 square cm, its 1/100=.01?

Originally posted by btan219 on 26 Feb 2015, 11:14.
Last edited by btan219 on 26 Feb 2015, 11:18, edited 1 time in total.
Math Expert V
Joined: 02 Sep 2009
Posts: 59125
Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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1
btan219 wrote:
EMPOWERgmatRichC wrote:
Hi btan219,

This is an example of a 'unit conversion' question. A number of questions on Test Day involve unit conversions (e.g. dollars to cents, hours to minutes, feet to inches, etc.).

Square centimeters and square millimeters are just different ways to measure area.

If you're not a big fan of the metric system, then try the following example:

1) Draw a 1 foot by 1 foot square. This is a "square foot" of area.
2) Since there are 12 inches in 1 foot, you can relabel the two measurements as "12 inches" and "12 inches"
3) 12 x 12 = 144, so this same space = 1 square foot = 144 square inches.

The exact same idea appears here, but we're dealing with metric measurements. Try drawing another picture, but using centimeters and millimeters (instead of feet and inches).

GMAT assassins aren't born, they're made,
Rich

im still not understand what they mean by square cm and square mm... how much is a square cm compared to a regular cm?

Square Centimeter is the unit of area, while Centimeter is the unit of length. That's all.
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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Hi btan219,

YES, that is exactly correct.

Usually, unit conversions on Test Day are simple "unit measurement" conversions (minutes to seconds, for example). Here, we have the extra step of converting the area AFTER we convert the units.

When it comes to area, "square" measurements (square feet, square inches, square centimeters) are basically what they "sound like" - a "square" with sides of THAT measurement. One "square foot" of space is a 1-foot by 1-foot area. In that same way, a 20-foot by 30-foot rectangle is (20)(30) = 600 square feet of area.

GMAT assassins aren't born, they're made,
Rich
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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if the question instead asked, how many square cm does 5 square mm equal?

how would you go about solving it? would it be 5mm by 5mm, or a 5mm by 1mm?
pretty much, when it gives you x square (unit of measurement), is it saying thats the length of each side, or the area?
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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1
Hi btan219,

A "square measurement" (square feet, square mm, square miles, etc.) is a measure of area. That measurement does NOT tell you the dimensions of the shape. For example, f you know that the area of a rectangle is 100 square feet, then you do NOT know the dimensions.

We don't know the dimensions that 5 square mm represents (it could be a 1 mm by 5 mm shape, but it could also be 1/2 mm by 10 mm or any other product that equals 5).

Since 1 square cm = 100 square mm, we can convert "backwards"...

1 square mm = 1/100 square cm
5 square mm = 5/100 square cm = 1/20 square cm.

GMAT assassins aren't born, they're made,
Rich
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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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jimmyjamesdonkey wrote:
If 10 millimeters equal 1 centimeter, how many square centimeters does 1 square millimeter equal?

A. 0.01
B. 0.1
C. 1
D. 10
E. 100

Given that 10 mm = 1 cm
So, 1 mm = (1 * 1)/10 = 1/10 cm
Now, we need 1 square mm. So squaring both the sides,
1 square mm = (1/10)^2 square cm
= 1/100 square cm
= 0.01 square cm
Hence option A

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Re: If 10 millimeters equal 1 centimeter, how many square  [#permalink]

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