Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : How to find the surface area of a cube

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Surface Area Of A Cube

What is the surface area of a cube with a side length of 15?

Possible Answers:

1350

500

1000

750

Correct answer:

1350

Explanation:

To find the surface area of a cube we must count the number of surface faces and add the areas of each of them together.

In a cube there are 6 faces, each a square with the same side lengths.

In this example the side lengths is 15 so the area of each square would be 15^2=225

We then multiply this number by 6, the number of faces of the cube, to get 225*6=1350

Our answer for the surface area is 1350 .

Report an Error

Example Question #1 : How To Find The Surface Area Of A Cube

What is the surface area of a cube with a side length of ?

Possible Answers:

194

224

294

Correct answer:

294

Explanation:

To find the surface area of a cube, we must count the number of surface faces and add the areas of each together. In a cube there are faces, each a square with the same side lengths. In this example the side length is .

The area of a square is given by the equation A=s*s=s^2 . Using our side length, we can solve the area of once face of the cube.

$A=(7)^{2}=49$

We then multiply this number by , the number of faces of the cube to find the total surface area.

49*6=294

Our answer for the surface area is 294 .

Report an Error

Example Question #1 : How To Find The Surface Area Of A Cube

If the surface area of a cube equals 96, what is the length of one side of the cube?

Possible Answers:

Correct answer:

Explanation:

The surface area of a cube = 6a² where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.

We have 96 = 6a²→ a² = 16, so that's the area of one face of the cube.

Solving we get √16, so a = 4

Report an Error

Example Question #571 : Geometry

What is the surface area of a cube with a side length of s=7.2in ?

Possible Answers:

$52in^{2}$

$86in^{2}$

$311in^{2}$

$331in^{2}$

$373in^{2}$

Correct answer:

$311in^{2}$

Explanation:

In order to find the surface area of a cube, use the formula $SA=6(s^{2})$ .

$SA=6*(7.2in)^{2}$

$SA=6*51.84in^{2}$

$SA=311.04in^{2}$

$\rightarrow 311in^{2}$

Report an Error

Example Question #572 : Geometry

What is the surface area, in inches, of a rectangular prism with a length of $\dpi{100} l=2.2ft$ , a width of w=18in , and a height of h=14in ?

Possible Answers:

$2652.8in^{2}$

$6652.8in^{2}$

$2193.6in^{2}$

$2319in^{2}$

$1108.8in^{2}$

Correct answer:

$2193.6in^{2}$

Explanation:

In order to find the surface area of a rectangular prism, use the formula SA=(2*lw)+(2*wh)+(2*lh) .

However, all units must be the same. All of the units of this problem are in inches with the exception of $\dpi{100} l=2.2ft$ .

Convert to inches.

$l=\frac{2.2ft}{1}*\frac{12in}{1ft}$

l=26.4in

Now, we can insert the known values into the surface area formula in order to calulate the surface area of the rectangular prism.

SA=(2*26.4in*18in)+(2*18in*14in)+(2*26.4in*14in)

$SA=(950.4in^{2})+(504in^{2})+(739.2in^{2})$

$SA=2193.6in^{2}$

If you calculated the surface area to equal $6652.8in^{2}$ , then you utilized the volume formula of a rectangular prism, which is V=l*w*h ; this is incorrect.

Report an Error

Example Question #573 : Geometry

Square_with_diagonal What is the surface area of a cube with a diagonal of $\dpi{100} d=4.2cm$ ?

Possible Answers:

$52.92cm^{2}$

$84.05cm^{2}$

$105.84cm^{2}$

$42.22cm^{2}$

$59.22cm^{2}$

Correct answer:

$52.92cm^{2}$

Explanation:

A few facts need to be known to solve this problem. Observe that the diagonal of the square face of the cube cuts it into two right isosceles triangles; therefore, the length of a side of the square to its diagonal is the same as an isosceles right triangle's leg to its hypotenuse: $1:\sqrt{2}$ .

$\frac{s}{d}=\frac{1}{\sqrt{2}}$

$\dpi{100} \dpi{100} \frac{s}{4.2cm}=\frac{1}{\sqrt{2}}$

Rearrange an solve for .

$\dpi{100} s=\frac{4.2cm}{\sqrt{2}}$

Now, solve for the area of the cube using the formula $\dpi{100} \dpi{100} SA=6(s^{2})$ .

$SA=6*(\frac{4.2cm}{\sqrt{2}})^{2}$

$SA=\frac{6}{1}*(\frac{4.2cm}{\sqrt{2}}*\frac{4.2cm}{\sqrt{2}})$

$\dpi{100} SA=\frac{6}{1}*(\frac{17.64cm^{2}}{2})$

$\dpi{100} \dpi{100} SA=3*17.64cm^{2}$

$\rightarrow 52.92cm^{2}$

Report an Error

Example Question #1 : How To Find The Surface Area Of A Cube

This figure is a cube with one face having an area of 16 in². Cube

What is the surface area of the cube (in²)?

Possible Answers:

256

Correct answer:

Explanation:

The surface area of a cube is the sum of the area of each face. Since there are 6 faces on a cube, the surface area of the entire cube is $6\cdot16$ .

Report an Error

Example Question #41 : Solid Geometry

A cube has a height of 4 feet. What is the surface area of the cube in feet?

Possible Answers:

Correct answer:

Explanation:

To find the surface area of a cube, square the length of one edge and multiply the result by six: $6(a^{2})$

$6(4^{2})=6(16)=96$

Report an Error

Example Question #16 : Cubes

The side length of a particular cube is $\frac{3}{2}$ . What is the surface area of this cube?

Possible Answers:

$\frac{27}{2}$

$\frac{9}{2}$

Correct answer:

$\frac{27}{2}$

Explanation:

To find the surface of a cube, use the standard equation:

SA=6a^2

where denotes the side length.

Plug in the given value for to find the answer:

$SA=6\cdot \left(\frac{3}{2}\right)^2=6\cdot \left(\frac{9}{4}\right)=\frac{27}{2}$

Report an Error

Example Question #17 : Cubes

Sarah is wrapping a birthday present. The box is a cube with sides of $6\; in$ . At a minimum, how many square feet of wrapping paper will she need?

Possible Answers:

$1.00\; ft^{2}$

$1.50\; ft^{2}$

$0.75\; ft^{2}$

$1.25\; ft^{2}$

$0.50\; ft^{2}$

Correct answer:

$1.50\; ft^{2}$

Explanation:

Remember, $6\; in=0.50\; ft$ .

For a cube:

$SA = 6s^{2}$

Thus $6(0.50)^{2}=6(0.25)=1.50\; ft^{2}$ .

Report an Error

View Tutors

Julia
Certified Tutor

Vassar College, Bachelor in Arts, Art History, Criticism, and Conservation. Johns Hopkins University, Master of Arts, Element...

View Tutors

Asha
Certified Tutor

Spelman College, Bachelor in Arts, Political Science and Government. Columbia University in the City of New York, Master of S...

View Tutors

Maram
Certified Tutor

University of Missouri-Kansas City, Bachelor in Arts, English. University of Central Missouri, Master of Arts, High School Ad...

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Miami, LSAT Tutors in San Francisco-Bay Area, English Tutors in Philadelphia, English Tutors in Dallas Fort Worth, Calculus Tutors in Philadelphia, Spanish Tutors in Dallas Fort Worth, Calculus Tutors in Los Angeles, Computer Science Tutors in Chicago, Algebra Tutors in San Diego, SSAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

LSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Miami, ACT Courses & Classes in Denver, LSAT Courses & Classes in Atlanta, GRE Courses & Classes in Washington DC, ACT Courses & Classes in Miami, GMAT Courses & Classes in Boston, GRE Courses & Classes in New York City, GMAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in New York City, SSAT Test Prep in Boston, ACT Test Prep in Washington DC, ACT Test Prep in Miami, SAT Test Prep in Houston, GRE Test Prep in Washington DC, GRE Test Prep in New York City, ISEE Test Prep in Los Angeles, GMAT Test Prep in Los Angeles, ACT Test Prep in Denver

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

High School Math : How to find the surface area of a cube

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Find The Surface Area Of A Cube

Example Question #1 : How To Find The Surface Area Of A Cube

Example Question #1 : How To Find The Surface Area Of A Cube

Example Question #571 : Geometry

Example Question #572 : Geometry

Example Question #573 : Geometry

Example Question #1 : How To Find The Surface Area Of A Cube

Example Question #41 : Solid Geometry

Example Question #16 : Cubes

Example Question #17 : Cubes

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: