Difference between revisions of "Cuboid"

 
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==Finding Area and Volume of a Cuboid==
 
==Finding Area and Volume of a Cuboid==
If a given cuboid has dimensions <math>a \times b \times c</math>, then the [[volume]] is derived by computing <math> a\cdot b \cdot c</math>, whereas the surface area is simply <math>2ab + 2bc + 2ac</math>
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If a given cuboid has dimensions <math>a \times b \times c</math>, then its [[volume]] is <math> a\cdot b \cdot c</math>, and its surface area is <math>2ab + 2bc + 2ac</math>
 
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==Finding the space diagonal of a cuboid==
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The space diagonal of a cuboid, <math>d</math>, is found by the formula <math>d^2=a^2+b^2+c^2</math>, where <math>a</math>,<math>b</math> and <math>c</math> are the side lengths of the solid
 
==See also==
 
==See also==
 
* [[Cube]]
 
* [[Cube]]
 
* [[Parallelepiped]]
 
* [[Parallelepiped]]
 
* [[Parallelogram]]
 
* [[Parallelogram]]

Latest revision as of 19:41, 29 April 2016

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A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism. A cuboid with six square faces is a cube, whereas a cuboid with at least two square faces is known as a square cuboid.

Finding Area and Volume of a Cuboid

If a given cuboid has dimensions $a \times b \times c$, then its volume is $a\cdot b \cdot c$, and its surface area is $2ab + 2bc + 2ac$

Finding the space diagonal of a cuboid

The space diagonal of a cuboid, $d$, is found by the formula $d^2=a^2+b^2+c^2$, where $a$,$b$ and $c$ are the side lengths of the solid

See also