Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : GED Math

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #132 : 3 Dimensional Geometry

A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.

A given tetrahedron has edges of length five inches. Give the total surface area of the tetrahedron.

Possible Answers:

$25 \sqrt{3}\textrm{ in}^{2}$

$\frac{25\sqrt{3}}{2} \textrm{ in}^{2}$

$\frac{25\sqrt{2}}{2} \textrm{ in}^{2}$

$25 \sqrt{2}\textrm{ in}^{2}$

Correct answer:

$25 \sqrt{3}\textrm{ in}^{2}$

Explanation:

The area of an equilateral triangle is given by the formula

$A = \frac{s^{2}\sqrt{3}}{4}$ .

Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is

$SA = 4 A = 4 \cdot \frac{s^{2}\sqrt{3}}{4} = s^{2}\sqrt{3}$ .

Substitute s = 5 :

$SA = 5^{2}\sqrt{3} = 25 \sqrt{3}$ square inches.

Report an Error

Example Question #1651 : Ged Math

A cube has a height of 9cm. Find the surface area.

Possible Answers:

$108\text{cm}^2$

$405\text{cm}^2$

$729\text{cm}^2$

$324\text{cm}^2$

$486\text{cm}^2$

Correct answer:

$486\text{cm}^2$

Explanation:

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

$SA = 6 \cdot l \cdot w$

where l is the length, and w is the width of the cube.

Now, we know the height of the cube is 9cm. Because it is a cube, all lengths, widths, and heights are the same. Therefore, the length and the width are also 9cm.

Knowing this, we can substitute into the formula. We get

$SA = 6 \cdot 9\text{cm} \cdot 9\text{cm}$

$SA = 6 \cdot 81\text{cm}^2$

$SA = 486\text{cm}^2$

Report an Error

Example Question #1652 : Ged Math

A sphere has a radius of 7in. Find the surface area.

Possible Answers:

$56\pi \text{ in}^2$

$294\pi \text{ in}^2$

$100\pi \text{ in}^2$

$196\pi \text{ in}^2$

$256\pi \text{ in}^2$

Correct answer:

$196\pi \text{ in}^2$

Explanation:

To find the surface area of a sphere, we will use the following formula:

$SA = 4 \cdot \pi \cdot r^2$

where r is the radius of the sphere.

Now, we know the radius of the sphere is 7in.

So, we can substitute into the formula. We get

$SA = 4 \cdot \pi \cdot (7\text{in})^2$

$SA = 4 \cdot \pi \cdot 49\text{in}^2$

$SA = 196\text{in}^2 \cdot \pi$

$SA = 196\pi \text{ in}^2$

Report an Error

Example Question #11 : Faces And Surface Area

Find the surface area of a cube with a length of 12in.

Possible Answers:

$169\text{in}^2$

$864\text{in}^2$

$726\text{in}^2$

$144\text{in}^2$

$1014\text{in}^2$

Correct answer:

$864\text{in}^2$

Explanation:

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

$SA = 6 \cdot l \cdot w$

where l is the length, and w is the width of the cube.

Now, we know the length of the cube is 12in. Because it is a cube, all sides are equal. Therefore, the width is also 12in. So, we can substitute. We get

$SA = 6 \cdot 12\text{in} \cdot 12\text{in}$

$SA = 6 \cdot 144\text{in}^2$

$SA = 864\text{in}^2$

Report an Error

Example Question #11 : Faces And Surface Area

A cube has a height of 8cm. Find the surface area.

Possible Answers:

$576\text{cm}^2$

$448\text{cm}^2$

$256\text{cm}^2$

$512\text{cm}^2$

$384\text{cm}^2$

Correct answer:

$384\text{cm}^2$

Explanation:

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

$SA = 6 \cdot l \cdot w$

where l is the length, and w is the width of the cube.

Now, we know the height of the cube is 8cm. Because it is a cube, all lengths, widths, and heights are the same. Therefore, the length and the width are also 8cm.

Knowing this, we can substitute into the formula. We get

$SA = 6 \cdot 8\text{cm} \cdot 8\text{cm}$

$SA = 6 \cdot 64\text{cm}^2$

$SA = 384\text{cm}^2$

Report an Error

Example Question #132 : 3 Dimensional Geometry

A sphere has a radius of 5in. Find the surface area.

Possible Answers:

$125\pi \text{ in}^2$

$250\pi \text{ in}^2$

$175\pi \text{ in}^2$

$100\pi \text{ in}^2$

$75\pi \text{ in}^2$

Correct answer:

$100\pi \text{ in}^2$

Explanation:

To find the surface area of a sphere, we will use the following formula:

$SA = 4 \cdot \pi \cdot r^2$

where r is the radius of the sphere.

Now, we know the radius of the sphere is 5in.

So, we can substitute into the formula. We get

$SA = 4 \cdot \pi \cdot (5\text{in})^2$

$SA = 4 \cdot \pi \cdot 25\text{in}^2$

$SA = 100\text{in}^2 \cdot \pi$

$SA = 100\pi \text{ in}^2$

Report an Error

Example Question #12 : Faces And Surface Area

Find the surface area of a cube with a height of 13in.

Possible Answers:

$726\text{in}^2$

$144\text{in}^2$

$169\text{in}^2$

$1014\text{in}^2$

$864\text{in}^2$

Correct answer:

$1014\text{in}^2$

Explanation:

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

$SA = 6 \cdot l \cdot w$

where l is the length, and w is the width of the cube.

Now, we know the length of the cube is 13in. Because it is a cube, all sides are equal. Therefore, the width is also 13in. So, we can substitute. We get

$SA = 6 \cdot 13\text{in} \cdot 13\text{in}$

$SA = 6 \cdot 169\text{in}^2$

$SA = 1014\text{in}^2$

Report an Error

Example Question #1651 : Ged Math

Find the surface area of a sphere with a radius of 8in.

Possible Answers:

$256\pi \text{ in}^2$

$384\pi \text{ in}^2$

$64\pi \text{ in}^2$

$512\pi \text{ in}^2$

$1024\pi \text{ in}^2$

Correct answer:

$256\pi \text{ in}^2$

Explanation:

To find the surface area of a sphere, we will use the following formula:

$SA = 4 \cdot \pi \cdot r^2$

where r is the radius of the sphere.

Now, we know the radius of the sphere is 8in.

Knowing this, we can substitute into the formula. We get

$SA = 4 \cdot \pi \cdot (8\text{in})^2$

$SA = 4 \cdot \pi \cdot 64\text{in}^2$

$SA = 256 \pi \text{ in}^2$

Report an Error

Example Question #11 : Faces And Surface Area

Sphere

Give the surface area of the above sphere.

Possible Answers:

$\frac{28 }{3}\pi \sqrt{7}$

$28 \pi$

$\frac{28 }{3}\pi$

$28 \pi \sqrt{7}$

Correct answer:

$28 \pi$

Explanation:

Given the radius of a sphere, the surface area can be calculated using the formula

$A = 4 \pi r^{2}$ .

Set $r = \sqrt{7}$ in the formula and evaluate:

$A = 4 \pi ( \sqrt{7})^{2}$

$A = 4 \pi \cdot 7$

$A = 28 \pi$

Report an Error

Example Question #692 : Geometry And Graphs

A cube has a width of 8in. Find the surface area.

Possible Answers:

$200\text{in}^2$

$128\text{in}^2$

$384\text{in}^2$

$96\text{in}^2$

$512\text{in}^2$

Correct answer:

$384\text{in}^2$

Explanation:

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

$SA = 6 \cdot l \cdot w$

where l is the length, and w is the width of the cube.

Now, we know the width of the cube is 8in. Because it is a cube, all sides/lengths are equal. Therefore, the length is also 8in. So, we can substitute. We get

$SAA = 6 \cdot 8\text{in} \cdot 8\text{in}$

$SA = 6 \cdot 64\text{in}^2$

$SA = 384\text{in}^2$

Report an Error

View Tutors

Travis
Certified Tutor

Full Sail University, Bachelor, Audio Production .

View Tutors

Christopher
Certified Tutor

Macomb Community College, Associate in Science, Biological and Physical Sciences.

View Tutors

Veronica
Certified Tutor

University at Buffalo, Bachelor of Science, Computer Science.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Denver, Math Tutors in Denver, SSAT Tutors in Houston, English Tutors in Philadelphia, Algebra Tutors in Dallas Fort Worth, ISEE Tutors in Denver, SAT Tutors in Chicago, English Tutors in Los Angeles, Computer Science Tutors in Boston, Chemistry Tutors in Philadelphia

Popular Courses & Classes

SSAT Courses & Classes in Atlanta, Spanish Courses & Classes in New York City, ACT Courses & Classes in Phoenix, Spanish Courses & Classes in Houston, Spanish Courses & Classes in Denver, SSAT Courses & Classes in Phoenix, GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in San Diego, ISEE Courses & Classes in Atlanta

Popular Test Prep

SSAT Test Prep in Phoenix, ISEE Test Prep in Denver, LSAT Test Prep in Atlanta, LSAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Seattle, ACT Test Prep in Phoenix, ACT Test Prep in Los Angeles, SSAT Test Prep in Houston, ISEE Test Prep in Atlanta, LSAT Test Prep in San Diego

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

GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #132 : 3 Dimensional Geometry

Example Question #1651 : Ged Math

Example Question #1652 : Ged Math

Example Question #11 : Faces And Surface Area

Example Question #11 : Faces And Surface Area

Example Question #132 : 3 Dimensional Geometry

Example Question #12 : Faces And Surface Area

Example Question #1651 : Ged Math

Example Question #11 : Faces And Surface Area

Example Question #692 : Geometry And Graphs

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: