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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Which of the following is a regular polyhedron?
(a) Cuboid
(b) Triangular prism
(c) Cube
(d) Square prism

Solution:

We have to find a regular polyhedron from the given options.

A solid is a polyhedron if it is made up of only polygonal faces, the faces meet at edges which are line segments and the edges meet at a point called vertex.

A polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex.

A regular, convex polyhedron with identical faces made up of congruent convex regular polygons is called a platonic solid.

Platonic solids, also known as regular solids or regular polyhedra, are solids with equivalent faces composed of congruent convex regular polygons.

In the case of cuboid, square prism and triangular prism, they have identical faces at both ends while the other faces are flat.

A cube is a platonic solid because all six of its faces are congruent squares.

Therefore, the cube is a regular polyhedron.

✦ Try This: Which of the following is not a regular polyhedron? (a) Tetrahedron, (b) Octahedron, (c) Cube, (d) Cuboid

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 3

Which of the following is a regular polyhedron? (a) Cuboid, (b) Triangular prism, (c) Cube, (d) Square prism

Summary:

Cube is a regular polyhedron

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