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Equal body

Lecture



Two bodies are called equal if they have equal volumes.
Two triangular pyramids with equal base areas and equal heights of equal size.

See also

    created: 2014-10-05
    updated: 2026-03-09
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    Lectures and tutorial on "Stereometry"

    Terms: Stereometry

    Stereometry
    Stereometry
    Axioms of stereometry
    Plane and point
    Plane and straight
    Parallel lines in space
    Parallel straight lines in space. Properties
    Sign of parallel lines in space
    Sign of parallelism of a line and a plane
    Sign of parallel planes
    The existence of a plane parallel to the plane
    Properties of parallel planes
    Perpendicular lines in space
    The sign of perpendicularity of the line and the plane
    Property perpendicular line and plane
    Property of lines perpendicular to the plane
    Perpendicular and inclined
    Three perpendicular theorem
    Three perpendicular inverse theorem
    Perpendicular planes
    The sign of perpendicular planes
    The distance between intersecting straight
    The distance between intersecting straight lines. Properties
    Cartesian coordinates in space
    The distance between points in space
    The coordinates of the middle of the segment in space
    Movement in space
    Parallel transport in space
    Similarity of spatial figures
    Homothety in space
    Angle between intersecting straight lines
    Angle between a straight line and a plane - definition, examples of finding.
    The angle between two intersecting planes - definition, examples of finding.
    The coordinates of the point of intersection of two straight lines are examples of finding.
    The coordinates of the point of intersection of a line and a plane are examples of finding.
    The area of ​​the orthogonal projection of the polygon
    Vectors in space
    Actions on vectors
    Dihedral angle
    Triangular and multifaceted corners
    Polyhedra
    Prism
    Straight prism
    Straight prism. Properties
    Parallelepiped
    Parallelepiped. Properties
    Central symmetry of the parallelepiped
    Rectangular parallelepiped
    Rectangular parallelepiped. Property
    Pyramid
    Truncated pyramid
    Correct pyramid
    The correct pyramid. Properties
    Regular polyhedra
    Body rotation. Cylinder
    Cylinder. Properties
    Cylinder section plane
    Prism inscribed and described
    Cone
    The cross section of the cone planes
    Pyramid inscribed and described
    Ball
    The cross section of the ball plane
    Ball symmetry
    Tangent plane to the ball
    Intersection of two spheres
    Polyhedra inscribed and described
    Volumes of polyhedra. Volume
    Equal body
    Volume of a rectangular parallelepiped
    Inclined parallelepiped volume
    Arbitrary prism volume
    Triangular prism volume
    Volume of a triangular pyramid
    The volume of an arbitrary pyramid
    The volume of the truncated pyramid
    Volumetric and surfaces of bodies of revolution. Cylinder
    Cone volume
    Truncated cone volume
    General formula for volumes of bodies of revolution
    Ball volume
    Ball segment volume
    Volume of the ball sector
    The surface area of ​​the cylinder
    Cone side surface area
    Sphere area