GMAT Math : Calculating the length of an edge of a cube

Study concepts, example questions & explanations for GMAT Math

Create An Account

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Calculating The Length Of An Edge Of A Cube

If the volume of a cube is units cubed, what is the length of each side of the cube?

Possible Answers:

Correct answer:

Explanation:

We solve for the side of the cube by deriving it from the volume of a cube formula:

V=s^3

$s=\sqrt[3]{V}$

$s=\sqrt[3]{27}$

s=3

Report an Error

Example Question #2 : Calculating The Length Of An Edge Of A Cube

If a cube has a surface area of 54cm^2 , what is the length of one side?

Possible Answers:

3 cm

9 cm

3 in

6 cm

15 in

Correct answer:

3 cm

Explanation:

To find the surface area of a cube, use the following formula:

SA=6s^2

Where s is our side length.

Rearrange for s to get the following:

$s=\sqrt{\frac{SA}{6}}$

Plug in 54 for SA and solve

$s=\sqrt{\frac{54}{6}}=\sqrt{9}=3$

Don't forget your units, in this case centimeters so we get 3 centimeters

Report an Error

Example Question #3 : Calculating The Length Of An Edge Of A Cube

If a cube has a surface area of 216 , what is the length of one of its sides?

Possible Answers:

Correct answer:

Explanation:

To solve for the side length of the cube, we need to use the formula for surface area. There are six faces on a cube, so its total surface area is just six times the area of one of its square faces, which is given by the side length squared:

SA=6L^2

216=6L^2

$L^2=\frac{216}{6}=36$

$L=\sqrt{36}=6$

Report an Error

Example Question #4 : Calculating The Length Of An Edge Of A Cube

If a cube has a volume of 343 cm^3 and is made up of smaller cubes, what is the length of one side of one of the smaller cubes?

Possible Answers:

$\small 7 cm$

$\small \small \frac{3}{7}cm$

$\small \frac{7}{3}cm$

$\small 3cm$

Correct answer:

$\small \frac{7}{3}cm$

Explanation:

Volume of a cube is equal to the cube of its side. 343 is equal to 7 cubed, so the length of the whole cube is 7 cm. The cube is made up of 27 smaller cubes though. That means that one face of the cube is made up of 9 cubes and one edge of the whole cube is made up of 3 small cubes. That means that the length of one small cube is equal to the total length of one side divided by the numbers of cubes per side

$\small V=s^3$

$\small \sqrt[3]{343}=7$

Then we get our final answer by doing:

$\small \frac{7}{3}cm$

Report an Error

Example Question #5 : Calculating The Length Of An Edge Of A Cube

ABCDEFGH is a cube with diagonal HB=3 . What is the length of an edge of the cube?

Possible Answers:

$3\sqrt{2}$

$2\sqrt{2}$

$\sqrt{2}$

$\sqrt{3}$

Correct answer:

$\sqrt{3}$

Explanation:

We are given the length of the diagonal of the cube.

Therefore we can find the length of an edge by using the formula

$d=e\sqrt{3}$ or $e=\frac{d}{\sqrt{3}}$ , and $\frac{3}{\sqrt{3}}=\frac{3}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\sqrt{3}$ .

Therefore, the final answer is $\sqrt{3}$ .

Report an Error

Example Question #2 : Calculating The Length Of An Edge Of A Cube

Find the length of the edge of a cube given that the volume is .

Possible Answers:

Correct answer:

Explanation:

To find side length, you must use the equation for volume of a cube and solve for .

$V=s^3\Rightarrow s=\sqrt[3]{V}$

Thus,

$s=\sqrt[3]{64}=4$

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Washington DC, GMAT Tutors in New York City, GMAT Tutors in Washington DC, Computer Science Tutors in Denver, Algebra Tutors in Seattle, Biology Tutors in Boston, Computer Science Tutors in Boston, Chemistry Tutors in Boston, Math Tutors in Washington DC, English Tutors in Atlanta

Popular Courses & Classes

SAT Courses & Classes in Houston, ACT Courses & Classes in San Diego, SSAT Courses & Classes in New York City, MCAT Courses & Classes in Atlanta, LSAT Courses & Classes in Miami, ACT Courses & Classes in Philadelphia, GMAT Courses & Classes in San Diego, LSAT Courses & Classes in Los Angeles, GRE Courses & Classes in New York City, GMAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

MCAT Test Prep in Atlanta, MCAT Test Prep in Denver, ISEE Test Prep in Boston, ACT Test Prep in San Diego, LSAT Test Prep in New York City, ISEE Test Prep in Chicago, MCAT Test Prep in Los Angeles, GRE Test Prep in Denver, ISEE Test Prep in Atlanta, ACT Test Prep in Dallas Fort Worth

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

Email address:
Your name:
Feedback:

GMAT Math : Calculating the length of an edge of a cube

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #1 : Calculating The Length Of An Edge Of A Cube

Example Question #2 : Calculating The Length Of An Edge Of A Cube

Example Question #3 : Calculating The Length Of An Edge Of A Cube

Example Question #4 : Calculating The Length Of An Edge Of A Cube

Example Question #5 : Calculating The Length Of An Edge Of A Cube

Example Question #2 : Calculating The Length Of An Edge Of A Cube

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details