Difference between revisions of "Rectangular prism"
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The length of the interior [[diagonal]]s can be determined by using the formula <math>d = \sqrt{l^2 + w^2 + h^2}</math>. | The length of the interior [[diagonal]]s can be determined by using the formula <math>d = \sqrt{l^2 + w^2 + h^2}</math>. | ||
| − | Proof: To get a base diagonal, we use the [[pythagorean theorem]]: <math> \sqrt{l^2+w^2}</math>. We call that | + | Proof: To get a base diagonal, we use the [[pythagorean theorem]]: <math> \sqrt{l^2+w^2}</math>. We call that <math>v</math>. Then we use the pythagorean theorem again to get |
* <math>diagonal=\sqrt{v^2+h^2}=\sqrt{l^2+w^2+h^2}</math> | * <math>diagonal=\sqrt{v^2+h^2}=\sqrt{l^2+w^2+h^2}</math> | ||
Latest revision as of 21:07, 23 October 2025
A rectangular prism (also cuboid, rectangular box, right rectangular prism, rectangular paralleliped) is a three dimensional figure with 6 faces that are all rectangles.
Opposite faces of a rectangular prism are congruent and parallel.
The volume can be determined by multiplying the length, width, and height, 
.
The length of the interior diagonals can be determined by using the formula 
.
Proof: To get a base diagonal, we use the pythagorean theorem: 
. We call that 
. Then we use the pythagorean theorem again to get
- The surface area of the prism is
See also
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