Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : How to find the surface area of a pyramid

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #741 : Geometry

The Pyramid of Giza has a height of 480 feet. If the length of each side of the base is approximately 756 feet, what is its total surface area? Round to the nearest tenth.

Possible Answers:

$1,495,368 ft^{2}$ $\displaystyle 1,495,368 ft^{2}$

$752,976 ft^{2}$ $\displaystyle 752,976 ft^{2}$

$802,494 ft^{2}$ $\displaystyle 802,494 ft^{2}$

$934,416 ft^{2}$ $\displaystyle 934,416 ft^{2}$

Correct answer:

$1,495,368 ft^{2}$ $\displaystyle 1,495,368 ft^{2}$

Explanation:

If the length of one side is 756 ft, then multiply to find the area of the base.

$\text{Area of square} = \text{length} \times \text{width}$ $\displaystyle \text{Area of square} = \text{length} \times \text{width}$

$A=756\times756$ $\displaystyle A=756\times756$

$A=571,536 ft^{2}$ $\displaystyle A=571,536 ft^{2}$

Once you've found the area of the base, use the height of the pyramid and half of the side length of the base to determine the length of the side from the apex to the ground using the Pythagorean Theorem.

$480^{2}+378^{2}=c^{2}$ $\displaystyle 480^{2}+378^{2}=c^{2}$

$230,400+142,884=c^{2}$ $\displaystyle 230,400+142,884=c^{2}$

$373,284=c^{2}$ $\displaystyle 373,284=c^{2}$

611=c $\displaystyle 611=c$

Using the side length of the base and the height of each of the triangles that form the pyramid, calculate the area of each triangle, then multiply by 4.

$\text{Area of a triangle}=\frac{1}{2}\times \text{base} \times \text{height}$ $\displaystyle \text{Area of a triangle}=\frac{1}{2}\times \text{base} \times \text{height}$

$A=\frac{1}{2} \times 611 \times 756$ $\displaystyle A=\frac{1}{2} \times 611 \times 756$

$\displaystyle A=230,958$

$\text{Area of four triangles} = 4 \times 230,958$ $\displaystyle \text{Area of four triangles} = 4 \times 230,958$

$A=923,832 ft^{2}$ $\displaystyle A=923,832 ft^{2}$

Add the surface area of the base to the surface area of the four triangles.

$\text{Total surface area} = 571,536 + 923,832$ $\displaystyle \text{Total surface area} = 571,536 + 923,832$

$1,495,368 ft^{2}$ $\displaystyle 1,495,368 ft^{2}$

Report an Error

View SAT Mathematics Tutors

Harriet
Certified Tutor

St. Olaf College, Bachelors, Math and Physics.

View SAT Mathematics Tutors

Alyssa
Certified Tutor

University of Missouri-Columbia, Bachelors, Statistics, Economics. Northwestern University, Current Grad Student, Predictive ...

View SAT Mathematics Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors

Popular Courses & Classes

ACT Courses & Classes in Denver, ISEE Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, SSAT Courses & Classes in Seattle, LSAT Courses & Classes in New York City, Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Houston, LSAT Courses & Classes in Houston, Spanish Courses & Classes in Los Angeles, ACT Courses & Classes in Los Angeles

Popular Test Prep

ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Phoenix, MCAT Test Prep in Miami, SSAT Test Prep in Boston, LSAT Test Prep in Philadelphia, SSAT Test Prep in Chicago, SAT Test Prep in Phoenix, SSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Boston, GMAT Test Prep in Miami

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

SAT Math : How to find the surface area of a pyramid

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #741 : Geometry

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: