Space Figures

Space Figures

These are geometric figures which are three-dimensional.

These are called solids.

Some Models of Solids

Kinds of Solids

Polyhedron

Cylinder

Cone

Sphere

1. Polyhedron

A polyhedron is a solid bounded by flat polygonal surfaces.

VERTEX Three or more

edges intersect at a point

EDGES Where faces

intersect at line segments.

FACES These are

polygons and their interiors of the polyhedron.

Types of Polyhedron

Tetrahedron

Prism

Pyramid

Types of Polyhedron

TetrahedronIt is a polyhedron which consists of 4 faces, 6 edges, and 4 vertices.

Types of Polyhedron

Prism

A prism is a polyhedron with two congruent parallel faces called bases. The other faces are parallelograms which connect the corresponding sides of the bases. These faces are called lateral faces.

Types of Polyhedron

Examples of Prism

Rectangular Solid Cube

Types of Polyhedron

Pyramid

A pyramid is a polyhedron with a polygon as base and triangles as lateral faces.

2. Cylinder

A cylinder is a solid very similar to a prism, except that its bases are two congruent circles (not polygons) on parallel planes.

The axis of a cylinder is the segment connecting the centers of its two circular bases.

The height of a cylinder is the distance between the planes of the bases.

2. Cylinder

A cylinder is called a right circular cylinder if its axis is perpendicular to its bases.

3. Cone

A cone is a solid bounded by a circle and all the line segments joining each point of the circle to a fixed point not in the plane of the circle.

The fixed point is called the vertex of the cone.

The radius of a cone is the radius of its circular base.

3. Cone

Its height is the distance between the vertex and the plane of the base.

A cone is called a right circular cone if its axis is perpendicular to its base.

Its axis is the segment connecting the vertex with the center of the base.

The slant height of a right circular cone is the length of a line segment whose endpoints are the vertex and a point on the circle.

3. Cone

4. Sphere

A sphere is the set of all points in space which are equidistant from the fixed point called the center.

A radius of a sphere is a segment whose endpoints are the center of the sphere and a point on the sphere.

A chord of the sphere is a segment whose endpoints are points on the sphere.

A diameter of the sphere is a segment that contains the center, and whose endpoints are the points on the sphere.

4. Sphere

A tangent to a sphere is a line that intersects the sphere at exactly one point.

-The End-

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Prepared by:Cristy S. DavidBSEd 3-A