Rectangular Parallelepiped (आयताकार समांतर चतुर्भुज) In Hindi
आयताकार समांतर चतुर्भुज एक त्रि-आयामी ठोस आकृति है, यह छह आयताकार चेहरों वाला एक बहुफलक है, इसे हेक्साहेड्रोन के रूप में भी जाना जाता है, आयताकार समांतर चतुर्भुज की सभी भुजाएं और फलक एक दूसरे से समकोण पर होते हैं।
Rectangular Parallelepiped In English
A rectangular parallelepiped, also known as a cuboid, is a three-dimensional solid shape with six rectangular faces.
Rectangular Parallelepiped Formula
1. Total Surface Area: This includes the areas of all six faces. It can be calculated by finding the area of each of the three different face sizes (length x width, width x height, and length x height) and multiplying each by two (since there are two faces of each size), then summing all the areas. This can be expressed as:
2. Lateral Surface Area: This only considers the area of the four vertical faces that exclude the top and bottom faces (which are considered the base). It’s calculated by finding the perimeter of the base and multiplying it by the height.
Volume of Rectangular Parallelepiped
The volume of a rectangular parallelepiped, also called a cuboid, is the product of the area of its base and the height.
Formula:
Diagonal Length of Rectangular Parallelepiped
The length of diagonal of rectangular parallelepiped figure with length l, width w and height h can be calculated by the below formula –
Properties of Rectangular Parallelepiped
Three-dimensional solid: A rectangular parallelepiped is a solid figure, meaning it has both length, width, and height.
Six rectangular faces: As the name suggests, a rectangular parallelepiped has six faces, and all of them are rectangles. Opposite faces are congruent and parallel.
Twelve edges: The six faces meet at twelve edges. Edges that are opposite each other are congruent and parallel.
Eight vertices: The twelve edges meet at eight corners, called vertices.
Three sets of four parallel edges: The twelve edges can be grouped into three sets of four. Each set has edges with the same length.
Right angles: All interior angles between the faces are right angles (90 degrees). This is because each face is a rectangle.
Face diagonals: Each face has a diagonal, which is a line segment that connects two opposite vertices of the face. There are a total of 12 face diagonals.
Body diagonals: A rectangular parallelepiped also has two body diagonals. These diagonals run from one vertex to the opposite vertex that is not on any of the faces it touches. There are a total of two body diagonals.
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