Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Finding Volume of a Cube

Study concepts, example questions & explanations for Common Core: 7th Grade Math

Create An Account

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Finding Volume Of A Cube

If a cube is inches tall, what is its volume?

Possible Answers:

512

500

Not enough information provided.

384

Correct answer:

512

Explanation:

To find the volume of a cube, we multiply length by width by height, which can be represented with the forumla $v=l\cdot w\cdot h$ . Since a cube has equal sides, we can use for all three values.

$8\cdot 8\cdot 8=512\: in ^{3}$

Report an Error

Example Question #1 : Finding Volume Of A Cube

What is the volume of a cube with a side length equal to inches?

Possible Answers:

$53\: in^{3}$

$343\: in^{3}$

$21\: in^{3}$

$49\: in^{3}$

Correct answer:

$343\: in^{3}$

Explanation:

The volume of a a cube (or rectangular prism) can be solved using the following equation:

$V=l\times\ w\times\ h$

$V=7in\times 7in\times 7in=343in^3$

Report an Error

Example Question #2 : Finding Volume Of A Cube

Give the volume of a cube with surface area 150 square inches.

Possible Answers:

$125\sqrt{3}\textup{ in}^{3}$

$125\textup{ in}^{3}$

$250\textup{ in}^{3}$

$250\sqrt{3}\textup{ in}^{3}$

$375\textup{ in}^{3}$

Correct answer:

$125\textup{ in}^{3}$

Explanation:

Let be the length of one edge of the cube. Since its surface area is 150 square inches, one face has one-sixth of this area, or $\frac{150}{6} = 25$ square inches. Therefore, $s^{2} = 25$ , and s = 5 .

The volume is the cube of this, or $V= 5^{3}=125$ cubic inches.

Report an Error

Example Question #2 : Finding Volume Of A Cube

Give the volume of a cube with surface area 240 square inches.

Possible Answers:

$40 \sqrt{10} \textup{ in}^{3}$

$80 \sqrt{10} \textup{ in}^{3}$

$80 \textup{ in}^{3}$

$120 \sqrt{10} \textup{ in}^{3}$

$120 \textup{ in}^{3}$

Correct answer:

$80 \sqrt{10} \textup{ in}^{3}$

Explanation:

Let be the length of one edge of the cube. Since its surface area is 240 square inches, one face has one-sixth of this area, or $\frac{240}{6} = 40$ square inches. Therefore, $s^{2} = 40$ , and $s = \sqrt{40} = 2\sqrt{10}$ .

The volume is the cube of this, or $V= \left ( 2\sqrt{10} \right )^{3}= 2^{3} \cdot \left ( \sqrt{10} \right )^{3}= 8 \cdot 10 \sqrt{10}= 80 \sqrt{10}$ cubic inches.

Report an Error

Example Question #1 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

Possible Answers:

$344\textup{ in}^3$

$341\textup{ in}^3$

$342\textup{ in}^3$

$343\textup{ in}^3$

$345\textup{ in}^3$

Correct answer:

$343\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

$V=l\times w\times h$

Now that we have the correct formula, we can substitute in our known values and solve:

$V=7\times7\times7$

$V=343\textup{ in}^3$

Report an Error

Example Question #4 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

Possible Answers:

$212\textup{ in}^3$

$213\textup{ in}^3$

$214\textup{ in}^3$

$216\textup{ in}^3$

$215\textup{ in}^3$

Correct answer:

$216\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

$V=l\times w\times h$

Now that we have the correct formula, we can substitute in our known values and solve:

$V=6\times6\times6$

$V=216\textup{ in}^3$

Report an Error

Example Question #2 : Finding Volume Of A Cube

Calculate the volume of the provided figure.

Possible Answers:

$1\textup,334\textup{ in}^3$

$1\textup,335\textup{ in}^3$

$1\textup,333\textup{ in}^3$

$1\textup,331\textup{ in}^3$

$1\textup,332\textup{ in}^3$

Correct answer:

$1\textup,331\textup{ in}^3$

Explanation:

In order to solve this problem, we need to recall the volume formula for a cube:

$V=l\times w\times h$

Now that we have the correct formula, we can substitute in our known values and solve:

$V=11\times11\times11$

$V=1\textup,331\textup{ in}^3$

Report an Error

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

David
Certified Tutor

Kent State University, Bachelors, Marketing. Kent State University at Kent, Masters in Education, Special Education.

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Los Angeles, Spanish Tutors in Houston, ISEE Tutors in Atlanta, Statistics Tutors in Phoenix, GMAT Tutors in Philadelphia, ISEE Tutors in Chicago, Algebra Tutors in Philadelphia, Calculus Tutors in Washington DC, Biology Tutors in Phoenix, Math Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in Chicago, Spanish Courses & Classes in Washington DC, ACT Courses & Classes in Houston, Spanish Courses & Classes in San Diego, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Atlanta, GRE Courses & Classes in San Diego, GRE Courses & Classes in Chicago, SSAT Courses & Classes in Chicago

Popular Test Prep

MCAT Test Prep in Houston, SSAT Test Prep in Miami, LSAT Test Prep in New York City, MCAT Test Prep in Philadelphia, GRE Test Prep in Boston, SSAT Test Prep in Philadelphia, ACT Test Prep in Chicago, SAT Test Prep in Boston, LSAT Test Prep in Denver, GMAT Test Prep in San Francisco-Bay Area

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

Common Core: 7th Grade Math : Finding Volume of a Cube

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #1 : Finding Volume Of A Cube

Example Question #1 : Finding Volume Of A Cube

Example Question #2 : Finding Volume Of A Cube

Example Question #2 : Finding Volume Of A Cube

Example Question #1 : Finding Volume Of A Cube

Example Question #4 : Finding Volume Of A Cube

Example Question #2 : Finding Volume Of A Cube

All Common Core: 7th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: