{"id":1074,"date":"2019-01-02T12:29:26","date_gmt":"2019-01-02T11:29:26","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1074"},"modified":"2024-02-16T12:23:44","modified_gmt":"2024-02-16T11:23:44","slug":"how-to-calculate-and-solve-for-the-area-length-width-and-height-of-a-cuboid-nickzom-calculator","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/01\/02\/how-to-calculate-and-solve-for-the-area-length-width-and-height-of-a-cuboid-nickzom-calculator\/","title":{"rendered":"How to Calculate and Solve for the Area, Length, Width and Height of a Cuboid | Nickzom Calculator"},"content":{"rendered":"

\"How<\/p>\n

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

The formula for computing the area of a cuboid is:<\/p>\n

A =\u00a02(lw + lh + wh)<\/p>\n

Where:
\nA = Area of the Cuboid
\nl = Length of the Cuboid
\nw = Width of the Cuboid
\nh = Height of the Cuboid<\/p>\n

Let\u2019s solve an example
\nFind the area of a cuboid with a length of 5 cm, width of 3 cm and a height of 9 cm.<\/p>\n

This implies that:
\nl = length of the cuboid = 5
\nw = width of the cuboid = 3
\nh= = height of the cuboid = 9<\/p>\n

A =\u00a02(lw + lh + wh)
\nA = 2(5 x 3 + 5 x 9 + 3 x 9)
\nSo, A = 2(87)
\nA = 174<\/p>\n

Therefore, the area\u00a0of the cuboid<\/strong>\u00a0is 174 cm2<\/sup><\/strong>.<\/p>\n

Calculating the Length of a cuboid when Area, Width and Height are Given<\/strong><\/h3>\n

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

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

Let\u2019s solve an example:
\nFind the length of a cuboid with an area of 140 cm2<\/sup>\u00a0, a width of 4 cm and a height of 12 cm<\/p>\n

This implies that;
\nA = Area of the cuboid = 140 cm2<\/sup>
\nw = width of the cuboid = 4 cm
\nh\u00a0 = height of the cuboid = 12 cm<\/p>\n

l =\u00a0 A – 2(w)(h)<\/sup> \/ 2(w) + 2(h)<\/sub>
\nl =\u00a0140 – 2(4)(12)<\/sup>\u00a0\/\u00a02(4) + 2(12)<\/sub>
\nWhich means, l = 140 – 96<\/sup>\u00a0\/\u00a08 + 24<\/sub>
\nl = 44<\/sup>\u00a0\/\u00a032<\/sub>
\nl = 1.375 cm<\/p>\n

Therefore, the\u00a0length of the cuboid\u00a0<\/strong>is\u00a01.375 cm.<\/strong><\/p>\n

Calculating the Width of a cuboid when Area, Length and Height are Given<\/strong><\/h3>\n

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

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

Let\u2019s solve an example:
\nFind the width of a cuboid with an area of 200 cm2<\/sup>\u00a0, a length of 5 cm and a height of 12 cm<\/p>\n

This implies that;
\nA = Area of the cuboid = 200 cm2<\/sup>
\nl = length of the cuboid = 5 cm
\nh\u00a0 = height of the cuboid = 12 cm<\/p>\n

w =\u00a0 A – 2(l)(h)<\/sup> \/ 2(l) + 2(h)<\/sub>
\nw =\u00a0200 – 2(5)(12)<\/sup>\u00a0\/\u00a02(5) + 2(12)<\/sub>
\nThen, w = 200 – 120<\/sup>\u00a0\/\u00a010 + 24<\/sub>
\nw = 80<\/sup>\u00a0\/\u00a034<\/sub>
\nw = 2.353 cm<\/p>\n

Therefore, the\u00a0width of the cuboid\u00a0<\/strong>is\u00a02.353 cm.<\/strong><\/p>\n

Calculating the Height of a cuboid when Area, Length and Width are Given<\/strong><\/h3>\n

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

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

Let\u2019s solve an example:
\nFind the height of a cuboid with an area of 300 cm2<\/sup>\u00a0, a length of 6 cm and a width of 2 cm<\/p>\n

This implies that;
\nA = Area of the cuboid = 300 cm2<\/sup>
\nl = length of the cuboid = 6 cm
\nw\u00a0 = width of the cuboid = 2 cm<\/p>\n

h =\u00a0 A – 2(l)(w)<\/sup> \/ 2(l) + 2(w)<\/sub>
\nh =\u00a0300 – 2(6)(2)<\/sup>\u00a0\/\u00a02(6) + 2(2)<\/sub>
\nSo, h = 300 – 24<\/sup>\u00a0\/\u00a012 + 4<\/sub>
\nh = 276<\/sup>\u00a0\/\u00a016<\/sub>
\nh = 17.25 cm<\/p>\n

Therefore, the\u00a0height of the cuboid\u00a0<\/strong>is\u00a017.25 cm.<\/strong><\/p>\n

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

How to Calculate and Solve for the Area of a Cuboid Using Nickzom Calculator<\/strong><\/h3>\n

<\/p>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong>\u00a0is capable of calculating the area of a cuboid.<\/p>\n

To get the answer and workings of the area of a cuboid 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 Cuboid<\/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 cuboid according to the respective parameters which are the width, length and height of the cuboid.<\/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 of the cuboid<\/strong>\u00a0is 3\u00a0cm, length of the cuboid is 5 cm<\/strong>\u00a0and the height of the cuboid<\/strong>\u00a0is 9\u00a0cm<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, click on the\u00a0Calculate<\/strong>\u00a0button<\/p>\n

\"\"<\/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 cuboid<\/strong>\u00a0and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents a cuboid. To calculate the area of a cuboid requires three essential parameters which…","protected":false},"author":1,"featured_media":12546,"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":[246,404,403,54,84,402,318,405,169,406,56,349,87,355,407],"class_list":["post-1074","post","type-post","status-publish","format-standard","has-post-thumbnail","category-mathematics","tag-area","tag-area-of-a-cuboid","tag-breadth","tag-calculator","tag-calculator-encyclopedia","tag-cuboid","tag-height","tag-height-of-a-cuboid","tag-length","tag-length-of-a-cuboid","tag-mathematics","tag-mensuration","tag-nickzom-calculator","tag-width","tag-width-of-a-cuboid","cs-entry"],"yoast_head":"\nHow 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