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COMMON TYPES OF SURFACES

COMMON TYPES OF SURFACES

Prism

A prism is a polyhedron (shape with multiple faces) having identical and parallel bases

(or ends) connected by lateral laces which are parallelograms. The axis of a prism is a

straight line connecting the centers of the bases.

Pyramid

A pyramid is a polyhedron whose base is a polygonal plane and whose other surfaces are triangular planes converging to a single point called the VERTEX or the APEX. The axis is a line joining the apex and the center of the base. The altitude is the perpendicular distance from the apex to the base.

Cylinder

A cylinder is a single-curved surface generated by moving a straight-line generatrix

along a curved path/directrix such that the generatrix remains parallel to itself.

Cone

A cone is a single-curved surface generated by a straight line generatrix one end of

which remains fixed at a point called VERTEX of the cone while the other end moves

along a curved directrix called BASE of the cone. Axis of the cone is a line joining the

vertex and the center of the base.

Truncated Shape

A truncated shape is that portion of a geometric shape which lies between the base and

a cutting plane cutting all the elements.

Frustum of a Shape

Frustum of a shape is that portion of the geometric shape which lies between the

base and a cutting plane parallel to the base cutting all the elements.

Right Shape

If the axis of a shape is perpendicular to its base, then that geometric shape is

termed as a right shape. Examples are a right cone and a right pyramid as shown in the

above figures.

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