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Is a cuboid a polyhedron

Updated: 4/28/2022
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no a cuboid is not a polyhedron if it was it would have 9 faces

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Q: Is a cuboid a polyhedron
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What geometric shape is one of the faces of a cereal box?

A cereal box is a six sided rectangular polyhedron called a rectangular cuboid. Each of its faces has the shape of a rectangle.


What is a three dimensional figure with 6 faces?

A polyhedron with six faces is often called a cuboid. It is also called a rectangular parallelepiped or a rectangular hexahedron, or sometimes simply, a box.


How many faces vertices and edges does a cuboid have?

By Euler's formula the number of faces (F), vertices (V), and edges (E) of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.


What are the features of a cuboid?

In geometry, a cuboid is a solid figure bounded by six faces, forming a convex polyhedron. There are two competing incompatible definitions of a cuboid in the mathematical literature. In the more general definition of a cuboid, the only additional requirement is that these six faces each be a quadrilateral, and that the undirected graph formed by the vertices and edges of the polyhedron should be isomorphic to the graph of a cube.[1] Alternatively, the word "cuboid" is sometimes used to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.[2]By Euler's formula the number of faces (F), vertices (V), and edges (E) of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.Along with the rectangular cuboids, any parallelepiped is a cuboid of this type, as is a square frustum (the shape formed by truncation of the apex of a square pyramid).In a rectangular cuboid, all angles are right angles, and opposite faces of a cuboid are equal. It is also a right rectangular prism. The term "rectangular or oblong prism" is ambiguous. Also the term rectangular parallelepiped or orthogonal parallelepiped is used.The square cuboid, square box, or right square prism (also ambiguously called square prism) is a special case of the cuboid in which at least two faces are squares. The cube is a special case of the square cuboid in which all six faces are squares.If the dimensions of a cuboid are a, b and c, then its volume is abc and its surface area is 2ab + 2bc + 2ac.The length of the space diagonal isCuboid shapes are often used for boxes, cupboards, rooms, buildings, etc. Cuboids are among those solids that can tessellate 3-dimensional space. The shape is fairly versatile in being able to contain multiple smaller cuboids, e.g. sugar cubes in a box, small boxes in a large box, a cupboard in a room, and rooms in a building.A cuboid with integer edges as well as integer face diagonals is called an Euler brick, for example with sides 44, 117 and 240. A perfect cuboid is an Euler brick whose space diagonal is also an integer. It is currently unknown whether a perfect cuboid actually exists.


Is a rectangle a polyhedron?

yes it is a polyhedron

Related questions

Is a cubiod a polyhedron?

No, a cubiod is not a polyhedron but a cuboid is.


Is a cuboid a polyhedrom?

No. But it is a polyhedron.


What polyhedron with at least pair of parallel faces?

A cuboid is one of them.


What is another name for a cuboid?

A cuboid is a solid figure bounded by six faces, forming a convex polyhedron. There are two competing incompatible definitions of a cuboid in the mathematical literature. In the more general definition of a cuboid, the only additional requirement is that these six faces each be a quadrilateral, and that the undirected graph formed by the vertices and edges of the polyhedron should be isomorphic to the graph of a cube. Alternatively, the word "cuboid" is sometimes used to refer to a shape of this type in which each of the faces is a rectangle, and in which each pair of adjacent faces meets in a right angle; this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism or rectangular parallelopiped.


How many verticies does a cuboid have?

Eight In geometry, a cuboid is a solid figure bounded by six faces, forming a convex polyhedron. There are two competing incompatible definitions of a cuboid in the mathematical literature. In the more general definition of a cuboid, the only additional requirement is that these six faces each be a quadrilateral, and that the undirected graph formed by the vertices and edges of the polyhedron should be isomorphic to the graph of a cube. Alternatively, the word "cuboid" is sometimes used to refer to a shape of this type in which each of the faces is a rectangle, and in which each pair of adjacent faces meets in a right angle; this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.


How many side does cuboid have?

a cuboid is a solid figure bounded by six faces, forming a convex polyhedron. In the more general definition of a cuboid, the only additional requirement is that these six faces each be a quadrilateral. the word "cuboid" is sometimes used to refer to a shape of this type in which each of the faces is a rectangle this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism.


How high is 28 cubic feet?

There is insufficient information provided in the question. The volume of an object does not determine its shape: it could be a sphere, a cuboid, a polyhedron, or simply a blob. Even if one assumes that the object is a cuboid, it could be tall and thin or squat and short.


What geometric shape is one of the faces of a cereal box?

A cereal box is a six sided rectangular polyhedron called a rectangular cuboid. Each of its faces has the shape of a rectangle.


How tall is 5 cubic feet?

The volume of an object does not provide information on its shape, leave alone its dimensions. It could be a sphere, a cuboid, a polyhedron or just an irregular "blob".


What is a three dimensional figure with 6 faces?

A polyhedron with six faces is often called a cuboid. It is also called a rectangular parallelepiped or a rectangular hexahedron, or sometimes simply, a box.


How many faces vertices and edges does a cuboid have?

By Euler's formula the number of faces (F), vertices (V), and edges (E) of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.


Which polyhedron has more faces than a tetrahedron but fewer face than an octahedron?

A pentahedron (eg square based pyramid) or a hexahedron (cuboid), or a heptahedron (a pentagon based prism). There are other shapes.