Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #9 : Cubes

If the surface area of a cube is 864 , find the length of a side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{864}{6}}$

Simplify.

$\text{side length}=\sqrt{144}$

Reduce.

$\text{side length}=12$

Report an Error

Example Question #1 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is 750 , find the length of a side of the cube.

Possible Answers:

$6\sqrt6$

$7\sqrt7$

$4\sqrt2$

$5\sqrt5$

Correct answer:

$5\sqrt5$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{750}{6}}$

Simplify.

$\text{side length}=\sqrt{125}$

Reduce.

$\text{side length}=5\sqrt5$

Report an Error

Example Question #11 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is 384 , what is the length of one side of the cube?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{384}{6}}$

Simplify.

$\text{side length}=\sqrt{64}$

Reduce.

$\text{side length}=8$

Report an Error

Example Question #11 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is 486 , find the length of one side of the cube.

Possible Answers:

Correct answer:

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{486}{6}}$

Simplify.

$\text{side length}=\sqrt{81}$

Reduce.

$\text{side length}=9$

Report an Error

Example Question #11 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is , find the length of one side of the cube.

Possible Answers:

$\sqrt{10}$

$6\sqrt2$

$2\sqrt6$

$4\sqrt3$

Correct answer:

$\sqrt{10}$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{60}{6}}$

Simplify.

$\text{side length}=\sqrt{10}$

Report an Error

Example Question #11 : Cubes

If the surface area of a cube is 324 , find the length of one side of the cube.

Possible Answers:

$4\sqrt6$

$3\sqrt6$

$7\sqrt3$

$6\sqrt5$

Correct answer:

$3\sqrt6$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{324}{6}}$

Simplify.

$\text{side length}=\sqrt{54}$

Reduce.

$\text{side length}=3\sqrt6$

Report an Error

Example Question #11 : Solid Geometry

If the surface area of a cube is 168 , find the length of a side of the cube.

Possible Answers:

$6\sqrt3$

$10\sqrt2$

$2\sqrt7$

$7\sqrt3$

Correct answer:

$2\sqrt7$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{168}{6}}$

Simplify.

$\text{side length}=\sqrt{28}$

Reduce.

$\text{side length}=2\sqrt7$

Report an Error

Example Question #12 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is 120 , find the length of a side of the cube.

Possible Answers:

$4\sqrt2$

$2\sqrt5$

$2\sqrt6$

$2\sqrt7$

Correct answer:

$2\sqrt5$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{120}{6}}$

Simplify.

$\text{side length}=\sqrt{20}$

Reduce.

$\text{side length}=2\sqrt5$

Report an Error

Example Question #11 : Solid Geometry

If the surface area of a cube is 192 , find the length of a side of the cube.

Possible Answers:

$3\sqrt2$

$12\sqrt2$

$4\sqrt2$

$8\sqrt2$

Correct answer:

$4\sqrt2$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{192}{6}}$

Simplify.

$\text{side length}=\sqrt{32}$

Reduce.

$\text{side length}=4\sqrt2$

Report an Error

Example Question #13 : How To Find The Length Of An Edge Of A Cube

If the surface area of a cube is 540 , find the length of a side of the cube.

Possible Answers:

$3\sqrt{10}$

$10\sqrt3$

$2\sqrt{10}$

$4\sqrt{10}$

Correct answer:

$3\sqrt{10}$

Explanation:

Recall how to find the surface area of a cube:

$\text{Surface Area}=6(\text{side length})^2$

Since the question asks you to find the length of a side of this cube, rearrange the equation.

$\text{side length}^2=\frac{\text{Surface Area}}{6}$

$\text{side length}=\sqrt{\frac{\text{Surface Area}}{6}}$

Substitute in the given surface area to find the side length.

$\text{side length}=\sqrt{\frac{540}{6}}$

Simplify.

$\text{side length}=\sqrt{90}$

Reduce.

$\text{side length}=3\sqrt{10}$

Report an Error

View Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View Tutors

Kaitlyn
Certified Tutor

Grand Canyon University, Masters in Education, Special Education.

View Tutors

Yongmao
Certified Tutor

Nankai University, Bachelor of Science, Chemistry. Washington University in St Louis, Doctor of Philosophy, Organic Chemistry.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Philadelphia, Statistics Tutors in Denver, French Tutors in Phoenix, GMAT Tutors in Chicago, MCAT Tutors in Dallas Fort Worth, SAT Tutors in Chicago, Biology Tutors in Phoenix, Calculus Tutors in Dallas Fort Worth, ISEE Tutors in Houston, Statistics Tutors in Houston

Popular Courses & Classes

MCAT Courses & Classes in Miami, SAT Courses & Classes in Boston, SSAT Courses & Classes in Washington DC, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Miami, GMAT Courses & Classes in Miami, GRE Courses & Classes in Miami, GRE Courses & Classes in Seattle

Popular Test Prep

SAT Test Prep in Denver, GMAT Test Prep in Seattle, ACT Test Prep in Denver, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in Dallas Fort Worth, GMAT Test Prep in Miami, GMAT Test Prep in Denver, SSAT Test Prep in Denver, SSAT Test Prep in Chicago, GMAT Test Prep in Phoenix

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Intermediate Geometry : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #9 : Cubes

Example Question #1 : How To Find The Length Of An Edge Of A Cube

Example Question #11 : How To Find The Length Of An Edge Of A Cube

Example Question #11 : How To Find The Length Of An Edge Of A Cube

Example Question #11 : How To Find The Length Of An Edge Of A Cube

Example Question #11 : Cubes

Example Question #11 : Solid Geometry

Example Question #12 : How To Find The Length Of An Edge Of A Cube

Example Question #11 : Solid Geometry

Example Question #13 : How To Find The Length Of An Edge Of A Cube

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: