Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Volume of a Rectangular Solid

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Volume Of A Rectangular Solid

Trayvon ordered a new calculator online for his Pre-Algebra class. When it arrived in the mail, he noticed something interesting about the rectangular box it was shipped in. The width of the box was twice the height, and the length of the box was three times the width. If the box was four inches tall, what was the volume of the box?

Possible Answers:

$512in.^{3}$

$48in.^{3}$

$24in.^{3}$

$768in.^{3}$

$384in.^{3}$

Correct answer:

$768in.^{3}$

Explanation:

If the box is 4 inches tall, then its height is 4in. Since the width is twice the height, the width must be 8 inches. Since the length is three times the width, the length must be 24 inches. Since a rectangular box is just a rectangular solid, the formula for the volume of a rectangular solid will give us the volume of the Trayvon's box.

V=lwh , where is length, is width, and is height. Therefore,

V=(24)(8)(4)=768

Since the unit of each of our dimensions was inches, our volume will be in cubic inches. Thus our answer is $768in.^{3}$

Report an Error

Example Question #152 : Geometry

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

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

$L = 24 \div 12 = 2$ feet

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

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

Multiply the three to get the volume:

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

Report an Error

Example Question #21 : Prisms

A rectangular box has a length of 2 meters, a width of 0.5 meters, and a height of 3.2 meters. How many cubes with a volume of one cubic centimeter could fit into this rectangular box?

Possible Answers:

3.2 x 10^-3

3.2 x 10⁶

3.2 x 10²

3.2

3,2 x 10³

Correct answer:

3.2 x 10⁶

Explanation:

In order to figure out how many cubic centimeters can fit into the box, we need to figure out the volume of the box in terms of cubic centimeters. However, the measurements of the box are given in meters. Therefore, we need to convert these measurements to centimeters and then determine the volume of the box.

There are 100 centimeters in one meter. This means that in order to convert from meters to centimeters, we must multiply by 100.

The length of the box is 2 meters, which is equal to 2 x 100, or 200, centimeters.

The width of the box is 0.5(100) = 50 centimeters.

The height of the box is 3.2(100) = 320 centimeters.

Now that all of our measurements are in centimeters, we can calculate the volume of the box in cubic centimeters. Remember that the volume of a rectangular box (or prism) is equal to the product of the length, width, and height.

V = length x width x height

V = (200 cm)(50 cm)(320 cm) = 3,200,000 cm³

To rewrite this in scientific notation, we must move the decimal six places to the left.

V = 3.2 x 10⁶ cm³

The answer is 3.2 x 10⁶.

Report an Error

Example Question #1 : Volume Of A Rectangular Solid

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

Possible Answers:

Not enough information provided.

384

512

500

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 #101 : Geometry

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

Possible Answers:

$53\: in^{3}$

$49\: in^{3}$

$343\: in^{3}$

$21\: in^{3}$

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 : Volume Of A Rectangular Solid

The volume of a cube is . What is the length of an edge of the cube?

Possible Answers:

Correct answer:

Explanation:

Let be the length of an edge of the cube. The volume of a cube can be determined by the equation:
x^3=V

x^3=64

$\sqrt[3]{x^3}=\sqrt[3]{64}$

x=4

Report an Error

Example Question #5 : Volume Of A Rectangular Solid

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:

$315\:cm^{3}$

$63\:cm^{2}$

$315\:cm^{2}$

$45\:cm^{3}$

$63\:cm^{3}$

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 : Volume Of A Rectangular Solid

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

576

574

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 : Volume Of A Rectangular Solid

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

Possible Answers:

$1050cm^{3}$

$32cm^{3}$

$525cm^{3}$

$85cm^{3}$

$1050cm^{2}$

Correct answer:

$1050cm^{3}$

Explanation:

V=Ah

V=lwh

V=(10)(7)(25)

V=1050

Report an Error

Example Question #1 : Volume Of A Rectangular Solid

The length, width, and height of box is 2,5,9 respectively. What is the volume of the rectangular box?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of a rectangular solid.

$V=\textup{ Length} \times \textup{Width} \times\textup{ Height}$

Substitute the dimensions.

$2\times5\times9 = 90$

Report an Error

View Pre-Algebra Tutors

Anjali
Certified Tutor

Delhi University, Bachelor of Science, Physics. Kumuan University, Master of Science, Physics.

View Pre-Algebra Tutors

Arianna
Certified Tutor

Washington State University, Bachelor in Arts, Communication, General. City University of Seattle, Masters in Business Admini...

View Pre-Algebra Tutors

Ronald
Certified Tutor

Towson University, Master of Science, Counseling Psychology.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Los Angeles, Reading Tutors in San Diego, GRE Tutors in Boston, Computer Science Tutors in Miami, Spanish Tutors in Phoenix, MCAT Tutors in Denver, GRE Tutors in Miami, LSAT Tutors in Los Angeles, SAT Tutors in Boston, ACT Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Phoenix, LSAT Courses & Classes in Denver, ISEE Courses & Classes in Los Angeles, ACT Courses & Classes in Denver, SAT Courses & Classes in Washington DC, Spanish Courses & Classes in Atlanta, LSAT Courses & Classes in Boston, GMAT Courses & Classes in Philadelphia, SSAT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Los Angeles, MCAT Test Prep in Washington DC, GMAT Test Prep in Philadelphia, GMAT Test Prep in Houston, GMAT Test Prep in Chicago, ACT Test Prep in Denver, SAT Test Prep in Washington DC, SSAT Test Prep in Atlanta, MCAT Test Prep in San Diego

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

Pre-Algebra : Volume of a Rectangular Solid

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Volume Of A Rectangular Solid

Example Question #152 : Geometry

Example Question #21 : Prisms

Example Question #1 : Volume Of A Rectangular Solid

Example Question #101 : Geometry

Example Question #2 : Volume Of A Rectangular Solid

Example Question #5 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

Example Question #2 : Volume Of A Rectangular Solid

Example Question #1 : Volume Of A Rectangular Solid

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: