We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : Prisms

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 Next →

Example Question #3 : Non Cubic Prisms

Angie is painting a 2 foot cube for a play she is in. She needs $25\hspace{1 mm}mL$ of paint for every square foot she paints. How much paint does she need?

Possible Answers:

$600\hspace{1 mm}mL$

$100\hspace{1 mm}mL$

None of the available answers

$1.041\overline{6}\hspace{1 mm}mL$

It is impossible to convert between metric units and feet.

Correct answer:

$600\hspace{1 mm}mL$

Explanation:

First we must calculate the surface area of the cube. We know that there are six surfaces and each surface has the same area:

$Area=6(2^2)=6\times 4=24\hspace{1 mm}feet^2$

Now we will determine the amount of paint needed

$24\hspace{1 mm}feet^2\times \frac{25\hspace{1 mm}mL}{1\hspace{1 mm}foot^2}=600\hspace{1 mm}mL$

Report an Error

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

What is the surface area of an equilateral triangluar prism with edges of 6 in and a height of 12 in?

Let $\sqrt{3}=1.732$ and $\sqrt{2}=1.414$ .

Possible Answers:

$247.176\ in^{2}$

$189.239\ in^{2}$

$165.135\ in^{2}$

$268.732\ in^{2}$

$216.414\ in^{2}$

Correct answer:

$247.176\ in^{2}$

Explanation:

The surface area of the prism can be broken into three rectangular sides and two equilateral triangular bases.

The area of the sides is given by: $A=lw=12\cdot 6=72\ in^{2}$ , so for all three sides we get $\dpi{100} 216\ in^{2}$ .

The equilateral triangle is also an equiangular triangle by definition, so the base has congruent sides of 6 in and three angles of 60 degrees. We use a special right traingle to figure out the height of the triangle: 30 - 60 - 90. The height is the side opposite the 60 degree angle, so it becomes $3\sqrt{3}$ or 5.196.

The area for a triangle is given by $A=\frac{1}{2}bh$ and since we need two of them we get $A=bh=6\cdot 3\sqrt{3}=31.176\ in^{2}$ .

Therefore the total surface area is $216\ in^{2}+31.176\ in^{2}=247.176\ in^{2}$ .

Report an Error

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

What is the total surface area of a box without a lid, if the dimensions of the base of the box are $6\textup{ in by }10\textup{ in}$ , and the box is $5\textup{ in}$ tall?

Possible Answers:

$300\textup{ sq in}$

$280\textup{ sq in}$

$220\textup{ sq in}$

$160\textup{ sq in}$

$360\textup{ sq in}$

Correct answer:

$220\textup{ sq in}$

Explanation:

The surface area of a rectangular prism is 2lw+2lh+2wh . Our prism, however, is missing its top, so it will be . This gives us (10)(6)+2(10)(5)+2(6)(5)=220 .

Report an Error

← Previous 1 2 3 Next →

View PSAT Mathematics Tutors

Brandon
Certified Tutor

Flager College, Bachelor, Elementary Education .

View PSAT Mathematics Tutors

Alexandra
Certified Tutor

University of Kent, Bachelor of Science, Mathematics.

View PSAT Mathematics Tutors

Dr. Derrick
Certified Tutor

Huston-Tillotson University, Bachelor of Science, Mathematics. Grand Canyon University, Master of Arts, Education.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Atlanta, LSAT Tutors in Philadelphia, Statistics Tutors in Los Angeles, Statistics Tutors in Houston, Calculus Tutors in Atlanta, Computer Science Tutors in Philadelphia, French Tutors in San Francisco-Bay Area, LSAT Tutors in New York City, Statistics Tutors in Philadelphia, Algebra Tutors in Philadelphia

Popular Courses & Classes

LSAT Courses & Classes in New York City, LSAT Courses & Classes in Atlanta, ISEE Courses & Classes in Chicago, Spanish Courses & Classes in Boston, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego, SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Denver, SAT Courses & Classes in Atlanta, ISEE Courses & Classes in Washington DC

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Boston, GRE Test Prep in Los Angeles, MCAT Test Prep in Chicago, LSAT Test Prep in San Diego, ISEE Test Prep in Miami, GRE Test Prep in Miami, SAT Test Prep in Chicago, LSAT Test Prep in Boston, ISEE Test Prep in Dallas Fort Worth

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

PSAT Math : Prisms

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #3 : Non Cubic Prisms

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

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

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: