Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Nets

Study concepts, example questions & explanations for ISEE Middle Level Math

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #91 : Geometry

Prism

Give the volume of the above box in cubic centimeters.

Possible Answers:

$216,000 \textrm{ cm}^{3}$ $\displaystyle 216,000 \textrm{ cm}^{3}$

$324,000 \textrm{ cm}^{3}$ $\displaystyle 324,000 \textrm{ cm}^{3}$

$28,800 \textrm{ cm}^{3}$ $\displaystyle 28,800 \textrm{ cm}^{3}$

$21,600\textrm{ cm}^{3}$ $\displaystyle 21,600\textrm{ cm}^{3}$

$32,400 \textrm{ cm}^{3}$ $\displaystyle 32,400 \textrm{ cm}^{3}$

Correct answer:

$324,000 \textrm{ cm}^{3}$ $\displaystyle 324,000 \textrm{ cm}^{3}$

Explanation:

100 centimeters make one meter, so convert each of the dimensions of the box by multiplying by 100.

$0.9 \times 100 = 90$ $\displaystyle 0.9 \times 100 = 90$ centimeters

$0.6 \times 100 = 60$ $\displaystyle 0.6 \times 100 = 60$ centimeters

Use the volume formula, substituting $\displaystyle L = 90, W = H = 60$:

V = LWH $\displaystyle V = LWH$

$V = 90 \cdot 60 \cdot 60 = 324,000$ $\displaystyle V = 90 \cdot 60 \cdot 60 = 324,000$ cubic centimeters

Report an Error

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

A cube made of nickel has sidelength 20 centimeters, Nickel has a density of 8.9 grams per cubic centimeter. What is the mass of this cube?

Possible Answers:

$3.56 \textrm{ kg}$ $\displaystyle 3.56 \textrm{ kg}$

$7.12 \textrm{ kg}$ $\displaystyle 7.12 \textrm{ kg}$

$35.6 \textrm{ kg}$ $\displaystyle 35.6 \textrm{ kg}$

$71.2 \textrm{ kg}$ $\displaystyle 71.2 \textrm{ kg}$

Correct answer:

$71.2 \textrm{ kg}$ $\displaystyle 71.2 \textrm{ kg}$

Explanation:

The volume of the cube is $20 ^{3} = 20 \times 20 \times 20 = 8,000$ $\displaystyle 20 ^{3} = 20 \times 20 \times 20 = 8,000$ cubic centimeters. Multiply by the number of grams per cubic centimeter to get $8,000 \times 8.9 = 71,200$ $\displaystyle 8,000 \times 8.9 = 71,200$ grams, or $71,200 \div 1,000 = 71.2$ $\displaystyle 71,200 \div 1,000 = 71.2$ kilograms.

Report an Error

Example Question #1 : Volume Of A Rectangular Solid

A rectangular prism has length 24 inches, width 18 inches, and height 15 inches. Give its volume in cubic feet.

Possible Answers:

$4 \frac{1}{2} \textrm{ ft}^{3}$ $\displaystyle 4 \frac{1}{2} \textrm{ ft}^{3}$

$4 \frac{1}{4} \textrm{ ft}^{3}$ $\displaystyle 4 \frac{1}{4} \textrm{ ft}^{3}$

$4 \frac{3}{4} \textrm{ ft}^{3}$ $\displaystyle 4 \frac{3}{4} \textrm{ ft}^{3}$

$3 \frac{3}{4} \textrm{ ft}^{3}$ $\displaystyle 3 \frac{3}{4} \textrm{ ft}^{3}$

Correct answer:

$3 \frac{3}{4} \textrm{ ft}^{3}$ $\displaystyle 3 \frac{3}{4} \textrm{ ft}^{3}$

Explanation:

Divide each dimension in inches by 12 to convert from inches to feet:

$L = 24 \div 12 = 2$ $\displaystyle L = 24 \div 12 = 2$ feet

$W = 18 \div 12 = 1 \frac{1}{2} = \frac{3}{2}$ $\displaystyle W = 18 \div 12 = 1 \frac{1}{2} = \frac{3}{2}$ feet

$H = 15 \div 12 = 1 \frac{1}{4} = \frac{5}{4}$ $\displaystyle H = 15 \div 12 = 1 \frac{1}{4} = \frac{5}{4}$ feet

Multiply the three to get the volume:

$V = LWH = 2 \cdot \frac{3}{2} \cdot \frac{5}{4} = \frac{15}{4} = 3 \frac{3}{4}$ $\displaystyle V = LWH = 2 \cdot \frac{3}{2} \cdot \frac{5}{4} = \frac{15}{4} = 3 \frac{3}{4}$ cubic feet

Report an Error

Example Question #1 : Nets

Prism

Give the volume of the box in cubic inches.

Possible Answers:

$3,168 \textrm{ in}^{3}$ $\displaystyle 3,168 \textrm{ in}^{3}$

$672 \textrm{ in}^{3}$ $\displaystyle 672 \textrm{ in}^{3}$

$1,344 \textrm{ in}^{3}$ $\displaystyle 1,344 \textrm{ in}^{3}$

$1,056 \textrm{ in}^{3}$ $\displaystyle 1,056 \textrm{ in}^{3}$

$816 \textrm{ in}^{3}$ $\displaystyle 816 \textrm{ in}^{3}$

Correct answer:

$3,168 \textrm{ in}^{3}$ $\displaystyle 3,168 \textrm{ in}^{3}$

Explanation:

Use the volume formula, substituting $\displaystyle L = 22, W = H = 12$ :

V=LWH $\displaystyle V=LWH$

$V=22 \cdot 12 \cdot 12 = 3168^{3}$ $\displaystyle V=22 \cdot 12 \cdot 12 = 3168^{3}$

Report an Error

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

Swimming_pool

One cubic foot is equal to (about) 7.5 gallons.

The above depicts a rectangular swimming pool for an apartment. The pool is seven feet deep everywhere. How many gallons of water does the pool hold?

Possible Answers:

$17,850 \textrm{ gal}$ $\displaystyle 17,850 \textrm{ gal}$

$178,500 \textrm{ gal}$ $\displaystyle 178,500 \textrm{ gal}$

$89,250 \textrm{ gal}$ $\displaystyle 89,250 \textrm{ gal}$

$91,875 \textrm{ gal}$ $\displaystyle 91,875 \textrm{ gal}$

$8,925 \textrm{ gal}$ $\displaystyle 8,925 \textrm{ gal}$

Correct answer:

$91,875 \textrm{ gal}$ $\displaystyle 91,875 \textrm{ gal}$

Explanation:

The pool can be seen as a rectangular prism with dimensions 50 feet by 35 feet by 7 feet; its volume in cubic feet the product of these dimensions, which is

$50 \times 35 \times 7 =12,250$ $\displaystyle 50 \times 35 \times 7 =12,250$ cubic feet.

One cubic foot is equal to about 7.5 gallons, so multiply:

$12,250 \times 7.5 = 91,875$ $\displaystyle 12,250 \times 7.5 = 91,875$ gallons.

Report an Error

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

Swimming_pool

The above depicts a rectangular swimming pool for an apartment. The pool is six feet deep everywhere. What is the volume of the pool in cubic feet?

Possible Answers:

$51,000\textrm{ ft}^{3}$ $\displaystyle 51,000\textrm{ ft}^{3}$

$10,500\textrm{ ft}^{3}$ $\displaystyle 10,500\textrm{ ft}^{3}$

$510\textrm{ ft}^{3}$ $\displaystyle 510\textrm{ ft}^{3}$

$9,500\textrm{ ft}^{3}$ $\displaystyle 9,500\textrm{ ft}^{3}$

$1,020\textrm{ ft}^{3}$ $\displaystyle 1,020\textrm{ ft}^{3}$

Correct answer:

$10,500\textrm{ ft}^{3}$ $\displaystyle 10,500\textrm{ ft}^{3}$

Explanation:

The pool can be seen as a rectangular prism with dimensions 50 feet by 35 feet by 6 feet; its volume is

$50 \times 35 \times 6 = 10,500$ $\displaystyle 50 \times 35 \times 6 = 10,500$ cubic feet.

Report an Error

View Tutors

Danielle
Certified Tutor

Northwestern University, Bachelors, Journalism. Tulane University of Louisiana, Master of Science, Finance.

View Tutors

Reuben
Certified Tutor

University of Alberta, Bachelor of Science, Mathematics.

View Tutors

Evgenii
Certified Tutor

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Boston, LSAT Tutors in Washington DC, SSAT Tutors in Philadelphia, GRE Tutors in Seattle, English Tutors in New York City, Algebra Tutors in New York City, MCAT Tutors in Phoenix, GRE Tutors in Washington DC, Algebra Tutors in Philadelphia, GMAT Tutors in Seattle

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, GRE Courses & Classes in San Diego, SAT Courses & Classes in New York City, ACT Courses & Classes in Washington DC, GMAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Miami, ISEE Courses & Classes in Atlanta, ISEE Courses & Classes in Phoenix, GRE Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in San Francisco-Bay Area

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Seattle, MCAT Test Prep in Chicago, LSAT Test Prep in New York City, GMAT Test Prep in Dallas Fort Worth, GRE Test Prep in Miami, GMAT Test Prep in Atlanta, SSAT Test Prep in Atlanta, ACT Test Prep in Seattle, GMAT Test Prep in Denver

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

ISEE Middle Level Math : Nets

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #91 : Geometry

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

Example Question #1 : Volume Of A Rectangular Solid

Example Question #1 : Nets

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

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

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: