ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

Volume of a rectangular prism. How to calculate the volumes cuboids (or boxes).

Updated on March 14, 2013

Volume Of A Cuboid Video

The volume of a rectangular prism (or cuboid) has one of the easiest formulas out of all of the 3D shapes. All you need to do is multiply all 3 side lengths together. Therefore, the formula for the volume of a rectangular prism is:

Volume = height × length × width

Or

V = hlw if you prefer a more algebraic version.

It doesn’t matter what order you multiply the side lengths together as you will always get the same answer. So don’t worry about deciding which side is the length, width or height – just multiply the 3 side lengths of the rectangular prism together.

Example 1

Work out the volume of this rectangular prism.

So all you need to do is to multiply the three side lengths together. Remember that is doesn’t matter which order you multiply the three numbers in as you will get the same answer.

4 × 3 × 20 = 240 cubic feet.

Or if you prefer you could lay it out in a more formal approach by applying the formula V = hlw:

V = hlw

= 4 × 20 × 3

= 240 cubic feet

Example 2

Work out the volume of this rectangular prism.

Just like example 1 all you need to do is to multiply the three side lengths together. Remember that is doesn’t matter which order you multiply the three numbers in as you will get the same answer.

6 × 3 × 14 = 252 m³.

Or if you prefer you could lay it out in a more formal approach by applying the formula V = hlw:

V = hlw

= 14 × 3 × 6

= 252 m³

Example 3

A small red rectangular prism has dimensions 3 by 2 by 4. A larger blue rectangular prism has dimensions of 15 by 6 by 32. Work out how many of the red rectangular prism fit into the blue rectangular prism.

In order to do this you will need to work out the volumes of both prisms.

Volume of red rectangular prism = 3 × 2 × 4 = 24 cm³

Volume of blue rectangular prism = 15 × 6 × 32 = 2880 cm³

Now if you divide the two volumes then this will tell you how many of the small rectangular prisms fit into the larger rectangular prism:

2880 ÷ 24 = 120

So 120 red boxes will fit into the large rectangular prism.

Comments

Submit a Comment

  • ThePelton profile image

    ThePelton 

    7 years ago from Martinsburg, WV USA

    If you do it in metric, the numbers convert easily to other things. One cubic centimeter is equal to one mililiter.

working

This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: https://hubpages.com/privacy-policy#gdpr

Show Details
Necessary
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
Features
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Marketing
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Statistics
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)