Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Geometry

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Find The Volume Of A Tetrahedron

Find the volume of a regular tetrahedron with side lengths of $\frac{1}{2}$ .

Possible Answers:

$\frac{4\sqrt2}{3}$

$\frac{\sqrt2}{24}$

$\frac{\sqrt2}{96}$

$\frac{\sqrt2}{48}$

Correct answer:

$\frac{\sqrt2}{96}$

Explanation:

Use the following formula to find the volume of a regular tetrahedron:

$\text{Volume}=\frac{\sqrt2}{12}side^3$

Now, plug in the given side length.

$\text{Volume}=\frac{\sqrt2}{12}(\frac{1}{2})^3$

$\text{Volume}=\frac{\sqrt2}{12}(\frac{1}{8})$

$\text{Volume}=\frac{\sqrt2}{96}$

Report an Error

Example Question #11 : How To Find The Volume Of A Tetrahedron

Find the volume of a regular tetrahedron with side lengths of $\frac{1}{3}$ .

Possible Answers:

$\frac{\sqrt2}{27}$

$\frac{\sqrt2}{12}$

$\frac{\sqrt2}{324}$

$\frac{\sqrt2}{54}$

Correct answer:

$\frac{\sqrt2}{324}$

Explanation:

Use the following formula to find the volume of a regular tetrahedron:

$\text{Volume}=\frac{\sqrt2}{12}side^3$

Now, plug in the given side length.

$\text{Volume}=\frac{\sqrt2}{12}(\frac{1}{3})^3$

$\text{Volume}=\frac{\sqrt2}{12}(\frac{1}{27})$

$\text{Volume}=\frac{\sqrt2}{324}$

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

A given rectangular prism has a length of $9\:cm$ , a width of $5\:cm$ , and a height of $7\:cm$ . What is the volume of the prism?

Possible Answers:

$63\:cm^{2}$

$63\:cm^{3}$

$45\:cm^{3}$

$315\:cm^{2}$

$315\:cm^{3}$

Correct answer:

$315\:cm^{3}$

Explanation:

The volume of a given prism V=Bh , where is the base area and is the height. For a rectangular prism, the base area $B=l \times w$ , or length times width. Therefore:

V=Bh

$V=(l\times w)h$

Substituting in our known values:

$V=(9\:cm\times 5\:cm)7\:cm$

$V=45\:cm^{2}\times 7\:cm$

$V=315\:cm^{3}$

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

Find the volume of a circular prism with a base radius of $11\:cm$ and a height of $20\:cm$ .

Possible Answers:

$440\pi\:cm^{2}$

$2420\pi\:cm^{3}$

$2420\pi\:cm^{2}$

$440\pi\:cm^{3}$

$220\pi\:cm^{3}$

Correct answer:

$2420\pi\:cm^{3}$

Explanation:

The volume of a given prism V=Bh , where is the base area and is the height. For a circular prism, the base area $B=\pi r^{2}$ , or pi times the square of the radius. Therefore:

$V=(\pi r^{2})h$

Substituting in our known values:

$V=(\pi (11\:cm)^{2})(20\:cm)$

$V=(121\pi\:cm^{2})(20\:cm)$

$V=2420\pi\:cm^{3}$

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

A triangular prism has a triangle base length of $4\:cm$ , a triangle height length of $8\:cm$ , and a prism height of $12\:cm$ . What is the volume of the prism?

Possible Answers:

$192\:cm^{3}$

$192\:cm^{2}$

Not enough information provided

$384\:cm^{2}$

$384\:cm^{3}$

Correct answer:

$192\:cm^{3}$

Explanation:

The volume of a given prism V=Bh , where is the base area and is the prism height. For a triangular prism, the base area $B=\frac{1}{2}bh_{2}$ , where is the base of the triangle and $h_{2}$ is the height of the triangle (not of the prism).

Therefore, we can substitute the base area equation into the equation for the volume of a prism:

V=Bh

$V=(\frac{1}{2}bh_{2})h$

Substituting in our known values:

$V=(\frac{1}{2}(4\:cm)(8\:cm))(12\:cm)$

$V=(16\:cm^{2})(12\:cm)$

$V=192\:cm^{3}$

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

572

574

576

Correct answer:

576

Explanation:

The volume of a rectangular prism is the product of its base area and its height : V=Ah . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

V=Ah

V=lwh

V=(12)(6)(8)

$V=12 \times48$

V=576

Report an Error

Example Question #2 : How To Find The Volume Of A Prism

A given rectangular prism has a length of 10cm , a width of 7cm , and a height of 15cm , what is its volume?

Possible Answers:

$1050cm^{3}$

$1050cm^{2}$

$32cm^{3}$

$525cm^{3}$

$85cm^{3}$

Correct answer:

$1050cm^{3}$

Explanation:

V=Ah

V=lwh

V=(10)(7)(25)

V=1050

Report an Error

Example Question #671 : Geometry

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.39.34 pm

Possible Answers:

$\small 5cm^3$

$\small 6cm^3$

$\small 8cm^3$

$\small 7cm^3$

$\small 3cm^3$

Correct answer:

$\small 6cm^3$

Explanation:

The formula for volume of a rectangular prism is $\small v=l\times w\times h$

$\small v=3\times1\times2$

$\small v=6cm^3$

Remember, volume is always labeled as units to the third power.

Report an Error

Example Question #4 : How To Find The Volume Of A Prism

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.47.24 pm

Possible Answers:

$\small 26m^3$

$\small 36cm^3$

$\small 29cm^3$

$\small 10cm^3$

$\small 15cam^3$

Correct answer:

$\small 36cm^3$

Explanation:

The formula for volume of a rectangular prism is $\small v=l\times w\times h$

$\small v=6\times3\times2$

$\small v=36cm^3$

Remember, volume is always labeled as units to the third power.

Report an Error

Example Question #1 : How To Find The Volume Of A Prism

What is the volume of the shape below?

Screen shot 2015 07 28 at 3.56.22 pm

Possible Answers:

$\small 12cm^3$

$\small 42cm^3$

$\small 6cm^3$

$\small 14cm^3$

$\small 21cm^3$

Correct answer:

$\small 42cm^3$

Explanation:

The formula for volume of a rectangular prism is $\small v=l\times w\times h$

$\small v=2\times3\times7$

$\small v=42cm^3$

Remember, volume is always labeled as units to the third power.

Report an Error

View SSAT- Upper Level Tutors

Donald
Certified Tutor

University of Georgia, Bachelors, Latin.

View SSAT- Upper Level Tutors

Iffy
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Engineering, General. University of Maryland-College P...

View SSAT- Upper Level Tutors

Martine
Certified Tutor

University of South Florida-Main Campus, Bachelors, Science. Windsor University School of Medicine, Doctor of Medicine, Scien...

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Miami, Chemistry Tutors in San Diego, Chemistry Tutors in Chicago, ACT Tutors in Boston, ACT Tutors in San Francisco-Bay Area, Calculus Tutors in Miami, SAT Tutors in Dallas Fort Worth, Statistics Tutors in Chicago, English Tutors in Miami, Algebra Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Miami, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in Houston, ISEE Courses & Classes in Chicago, GMAT Courses & Classes in Denver, GMAT Courses & Classes in Los Angeles, SAT Courses & Classes in New York City

Popular Test Prep

ISEE Test Prep in Phoenix, MCAT Test Prep in Washington DC, MCAT Test Prep in Phoenix, GMAT Test Prep in Denver, MCAT Test Prep in Atlanta, SAT Test Prep in Houston, SAT Test Prep in San Diego, SSAT Test Prep in Denver, SSAT Test Prep in Dallas Fort Worth, ACT Test Prep in Philadelphia

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

SSAT Upper Level Math : Geometry

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : How To Find The Volume Of A Tetrahedron

Example Question #11 : How To Find The Volume Of A Tetrahedron

Example Question #1 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

Example Question #2 : How To Find The Volume Of A Prism

Example Question #671 : Geometry

Example Question #4 : How To Find The Volume Of A Prism

Example Question #1 : How To Find The Volume Of A Prism

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: