Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : Prisms

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Non Cubic Prisms

What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?

Possible Answers:

$576\ in^2$

None of the answers are correct

$432\ in^2$

$216\ in^2$

$382\ in^2$

Correct answer:

$432\ in^2$

Explanation:

The formula for the surface area of a rectangular prism is given by:

SA = 2LW + 2WH + 2HL

SA = 2(12 * 8) + 2(8 * 6) + 2(6 * 12)

SA = 2(96) + 2(48) + 2(72)

SA = 192 + 96 + 144

SA = 432 in²

216 in² is the wrong answer because it is off by a factor of 2

576 in³ is actually the volume, V = L * W * H

Report an Error

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

A box's length is twice as long as its width. Its height is the sum of its length and its width. What is the volume of this box if its length is 10 units?

Possible Answers:

750 units cubed

500 units cubed

150 units cubed

250 units cubed

300 units cubed

Correct answer:

750 units cubed

Explanation:

The formula for the volume of a rectangular prism is V = L*W*H , where "" is volume, "" is length, "" is width and "" is height.

We know that L = 2W and H = L+W . By rearranging L=2W , we get $W=\frac{L}{2}$ . Substituting $\frac{L}{2}$ into the volume equation for and L+W into the same equation for , we get the following:

$V = L \cdot \left(\frac{L}{2}\right)\cdot (L+\left(\frac{L}{2}\right))$

$V = L\cdot \left(\frac{L}{2}\right)\cdot \frac{3L}{2}$

$V = 10 \cdot 5 \cdot 15$

V = 750 units cubed

Report an Error

Example Question #2 : Finding Volume Of A Rectangular Prism

A rectangular prism has the following dimensions:

Length: $6.3 \:cm$

Width: $6.3 \:cm$

Height: $2.1 \:cm$

Find the volume.

Possible Answers:

$84.9\:cm^3$

$83.8\:cm^3$

$83.4\:cm^3$

$84.3\:cm^3$

$83.3\:cm^3$

Correct answer:

$83.3\:cm^3$

Explanation:

Given that the dimensions are: $6.3 \:cm$ , $6.3 \:cm$ , and $2.1 \:cm$ and that the volume of a rectangular prism can be given by the equation:

$v=l \cdot w \cdot h$ , where is length, is width, and is height, the volume can be simply solved for by substituting in the values.

V = (6.3)(6.3)(2.1)

V = (39.69)(2.1)

$V = 83.349\:cm^3$

This final value can be approximated to $83.3\:cm^3$ .

Report an Error

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

A rectangular box has two sides with the following lengths:

3$ cm$ and 4 $ cm$

If it possesses a volume of $84$ cm$^{3}$ , what is the area of its largest side?

Possible Answers:

Correct answer:

Explanation:

The volume of a rectangular prism is found using the following formula:

$V=l\times w\times h$

If we substitute our known values, then we can solve for the missing side.

$84=3\times 4\times x$

84=12x

Divide both sides of the equation by 12.

$\frac{84}{12}=\frac{12x}{12}$

x=7

We now know that the missing length equals 7 centimeters.

This means that the box can have sides with the following dimensions: 3cm by 4cm; 7cm by 3cm; or 7cm by 4cm. The greatest area of one side belongs to the one that is 7cm by 4cm.

$A=l\times w$

$A=4\times 7$

A=28

Report an Error

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

Solve for the volume of a prism that is 4m by 3m by 8m.

Possible Answers:

V = 102 m^3

V = 144 m^3

V = 136 m^3

V=88m^3

V = 96 m^3

Correct answer:

V = 96 m^3

Explanation:

The volume of the rectangle

V = l*w*h

so we plug in our values and obtain

V = 4*3*8

V = 96 m^3 .

Report an Error

View ACT Math Tutors

Sana
Certified Tutor

Loyola University-Chicago, Bachelor of Science, Psychology.

View ACT Math Tutors

Bagher
Certified Tutor

San Jose State University, Master's/Graduate, Physics.

View ACT Math Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

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

Popular Courses & Classes

ACT Courses & Classes in New York City, SSAT Courses & Classes in Boston, MCAT Courses & Classes in Philadelphia, SAT Courses & Classes in Miami, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Atlanta, ACT Courses & Classes in Miami, ACT Courses & Classes in Denver, ACT Courses & Classes in Seattle, ACT Courses & Classes in Boston

Popular Test Prep

SSAT Test Prep in Denver, GMAT Test Prep in Atlanta, ACT Test Prep in Seattle, ACT Test Prep in Miami, ISEE Test Prep in Atlanta, ACT Test Prep in Boston, LSAT Test Prep in Boston, GRE Test Prep in Miami, ACT Test Prep in Philadelphia, SAT Test Prep in New York City

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

ACT Math : Prisms

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : Non Cubic Prisms

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

Example Question #2 : Finding Volume Of A Rectangular Prism

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

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

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: