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 its [[volume]] is <math> a\cdot b \cdot c</math>, and its surface area is <math>2ab + 2bc + 2ac</math> | 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> | ||
− | + | ==Finding the space diagonal of a cuboid== | |
+ | 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
This article is a stub. Help us out by expanding it.
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 , then its volume is , and its surface area is
Finding the space diagonal of a cuboid
The space diagonal of a cuboid, , is found by the formula , where , and are the side lengths of the solid