{"id":1283,"date":"2019-01-06T17:23:55","date_gmt":"2019-01-06T16:23:55","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1283"},"modified":"2024-02-17T15:53:47","modified_gmt":"2024-02-17T14:53:47","slug":"how-to-calculate-and-solve-for-the-width-height-length-and-area-of-a-rectangular-prism-the-calculator-encyclopedia","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/01\/06\/how-to-calculate-and-solve-for-the-width-height-length-and-area-of-a-rectangular-prism-the-calculator-encyclopedia\/","title":{"rendered":"How to Calculate and Solve for the Width, Height, Length and Area of a Rectangular Prism | The Calculator Encyclopedia"},"content":{"rendered":"

\"\"<\/p>\n

The image above is a rectangular prism. To calculate the area of a rectangular prism requires three essential parameters which are the length, width and height of the rectangular prism.<\/p>\n

A = 2wl + 2hl + 2hw<\/p>\n

Where;
\nA = Area of the rectangular prism
\nl = Length of the rectangular prism
\nw = Width of the rectangular prism
\nh = Height of the rectangular prism<\/p>\n

Let\u2019s solve an example;
\nFind the area of a rectangular prism with a width of 10 cm, a height of 17 cm and a length of 14 cm.<\/p>\n

This implies that;
\nl = Length of the rectangular prism = 14 cm
\nw = Width of the rectangular prism = 10 cm
\nh = Height of the rectangular prism = 17 cm<\/p>\n

A = 2wl + 2hl + 2hw
\nA = 2 x 10 x 14 + 2 x 17 x 14 + 2 x 17 x 10
\nSo, A = 280 + 476 + 340
\nA = 1096<\/p>\n

Therefore, the area of the rectangular prism<\/strong> is 1096 cm2<\/sup>.<\/strong><\/p>\n

Calculating the Length of a Rectangular Prism using the Area, Width, and Height of the Rectangular Prism<\/strong><\/h3>\n

l = A – 2hw<\/sup> \/ 2 (w + h)<\/sub><\/p>\n

Where;
\nl = Length of the rectangular prism
\nA = Area of the\u00a0rectangular prism
\nw = Width of the\u00a0rectangular prism
\nh = Height of the\u00a0rectangular prism<\/p>\n

Let\u2019s solve an example;
\nFind the length of a rectangular prism with a width of 9 cm, a height of 12 cm and a Area of 250 cm2<\/sup>.<\/p>\n

This implies that;
\nw = Width of the rectangular prism = 9 cm
\nh = Height of the rectangular prism = 12 cm
\nA = Area of the rectangular prism =\u00a0250 cm2<\/sup><\/p>\n

l = A – 2hw<\/sup> \/ 2 (w + h)<\/sub>
\nl = 250 – 2 x 12 x 9<\/sup> \/ 2 (9 + 12)<\/sub>
\nThen, l = 250 – 216<\/sup> \/ 2 (21)<\/sub>
\nl = 34<\/sup> \/ 42<\/sub>
\nl = 0.81<\/p>\n

Therefore, the length of the rectangular prism<\/strong> is 0.81 cm.<\/strong><\/p>\n

<\/p>\n

Calculating the Width of a Rectangular Prism using the Area, Length, and Height of the Rectangular Prism<\/strong><\/h3>\n

w = A – 2hl<\/sup> \/ 2 (l + h)<\/sub><\/p>\n

Where;
\nl = Length of the rectangular prism
\nA = Area of the\u00a0rectangular prism
\nw = Width of the\u00a0rectangular prism
\nh = Height of the\u00a0rectangular prism<\/p>\n

Let\u2019s solve an example;
\nFind the width of a rectangular prism with a length of\u00a0 8 cm, a height of 11 cm and an Area of 340 cm2<\/sup>.<\/p>\n

This implies that;
\nl = Length of the rectangular prism = 8 cm
\nh = Height of the rectangular prism = 11 cm
\nA = Area of the rectangular prism = 340 cm2<\/sup><\/p>\n

w = A – 2hl<\/sup> \/ 2 (l + h)<\/sub>
\nw = 340 – 2 x 11 x 8<\/sup> \/ 2 (8 + 11)<\/sub>
\nThat is, w = 340 – 176<\/sup> \/ 2 (19)<\/sub>
\nw = 164<\/sup> \/ 38<\/sub>
\nw = 4.32<\/p>\n

Therefore, the width of the rectangular prism<\/strong> is 4.32 cm<\/strong><\/p>\n

Calculating the Height of a Rectangular Prism using the Area, Length, and Width of the Rectangular Prism<\/strong><\/h3>\n

h = A – 2wl<\/sup> \/ 2 (l + w)<\/sub><\/p>\n

Where;
\nl = Length of the rectangular prism
\nA = Area of the\u00a0rectangular prism
\nw = Width of the\u00a0rectangular prism
\nh = Height of the\u00a0rectangular prism<\/p>\n

Let\u2019s solve an example;
\nFind the height of a rectangular prism with a width of\u00a0 7 cm, a length of 13 cm and a Area of 400 cm2<\/sup>.<\/p>\n

This implies that;
\nl = Length of the rectangular prism = 13 cm
\nw = Width of the rectangular prism = 7 cm
\nA = Area of the rectangular prism = 400 cm2<\/sup><\/p>\n

h = A – 2wl<\/sup> \/ 2 (l + w)<\/sub>
\nh = 400 – 2 x 7 x 13<\/sup> \/ 2 (13 + 7)<\/sub>
\nThen, h = 400 – 182<\/sup> \/ 2 (20)<\/sub>
\nh = 218<\/sup> \/ 40<\/sub>
\nh = 5.45<\/p>\n

Therefore, the height of the rectangular prism<\/strong> is 5.45 cm.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for the Width, Height, Length and Volume of a Rectangular Prism | Nickzom Calculator<\/a><\/p>\n

How to Calculate the Area of a Rectangular Prism Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the area of a rectangular prism<\/p>\n

To get the answer and workings of the area of a rectangular prism using the\u00a0Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n

Once, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Mensuration<\/strong>\u00a0<\/strong>under the\u00a0Mathematics<\/strong>\u00a0section.<\/p>\n

\"How<\/p>\n

Now, click on\u00a0Area of a rectangular prism<\/strong>\u00a0under\u00a0Mensuration<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the area of a rectangular prism according to the respective parameters which are the length, the width and the height of the rectangular prism.<\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0example<\/strong>\u00a0above where the\u00a0width\u00a0<\/strong>is\u00a010 cm, the length<\/strong>\u00a0is\u00a014 cm and the height<\/strong>\u00a0is\u00a017 cm.<\/strong><\/p>\n

\"\"<\/p>\n

Finally, Click on Calculate<\/strong><\/p>\n

\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u00a0\u2013 The Calculator Encyclopedia solves for the\u00a0area of a rectangular prism<\/strong>\u00a0and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above is a rectangular prism. To calculate the area of a rectangular prism requires three essential…","protected":false},"author":5,"featured_media":12614,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[4],"tags":[246,439,84,318,441,169,438,87,436,355,440],"class_list":["post-1283","post","type-post","status-publish","format-standard","has-post-thumbnail","category-mathematics","tag-area","tag-area-of-a-rectangular-prism","tag-calculator-encyclopedia","tag-height","tag-height-of-a-rectangular-prism","tag-length","tag-length-of-a-rectangular-prism","tag-nickzom-calculator","tag-rectangular-prism","tag-width","tag-width-of-a-rectangular-prism","cs-entry"],"yoast_head":"\nHow 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