
The number of corners, edges and faces of a cuboid respectively are
A) \[8,6,12\]
B) \[4,3,6\]
C) \[4,4,10\]
D) \[8,4,12\]
Answer
577.5k+ views
Hint: Use the following figure to find the number of corners, edges and faces of a cuboid. As the given image is in 3-D we can determine how in all the direction we have to observe in order to obtain a complete number of corners, edges and faces of cuboid.
Complete step by step solution:
From the above figure
Number of corners(vertex) = 8
Number of edges = 12
Number of faces = 6
Hence, option A. \[8,6,12\] is the correct.
Note: Cuboid:- “Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polygraph is same as that of a cube.”
An edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon, an edge is a line segment on the boundary and is often called as a side.
In simple words, we can say Cuboid is a solid which has six rectangular faces at right angles to each other.
Examples: book, box, brick, elevator etc.
Complete step by step solution:
From the above figure
Number of corners(vertex) = 8
Number of edges = 12
Number of faces = 6
Hence, option A. \[8,6,12\] is the correct.
Note: Cuboid:- “Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polygraph is same as that of a cube.”
An edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon, an edge is a line segment on the boundary and is often called as a side.
In simple words, we can say Cuboid is a solid which has six rectangular faces at right angles to each other.
Examples: book, box, brick, elevator etc.
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