Enhance Your Learning with 3-Dimensional Figures and Solid Geometry Flash Cards for quick learning
Geometric shapes that have three dimensions: length, width, and height.
A polyhedron with two parallel congruent bases and rectangular faces.
A polyhedron with a polygonal base and triangular faces that meet at a common vertex.
A three-dimensional figure with two parallel congruent circular bases and a curved surface.
A three-dimensional figure with a circular base and a curved surface that tapers to a point called the apex.
A perfectly round three-dimensional figure with all points on its surface equidistant from its center.
The amount of space occupied by a three-dimensional figure, measured in cubic units.
The total area of all the faces and curved surfaces of a three-dimensional figure.
A prism with rectangular bases and rectangular faces.
A prism with triangular bases and rectangular faces.
A pyramid with a square base and triangular faces.
The portion of a cone that remains after the top is cut off by a plane parallel to the base.
Five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
A polyhedron with four triangular faces.
A polyhedron with six square faces.
A polyhedron with eight triangular faces.
A polyhedron with twelve pentagonal faces.
A polyhedron with twenty triangular faces.
A figure made up of two or more simpler figures.
A transformation that slides a figure from one position to another without changing its shape or size.
A transformation that flips a figure over a line, creating a mirror image.
A transformation that turns a figure around a fixed point called the center of rotation.
A transformation that changes the size of a figure without changing its shape.
Figures that have the same shape but not necessarily the same size.
Figures that have the same shape and size.
A two-dimensional pattern that can be folded to form a three-dimensional figure.
The intersection of a three-dimensional figure and a plane.
If two solids have the same height and the same cross-sectional area at every level, then they have the same volume.
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height of the prism.
The volume of a triangular prism is given by the formula V = (1/2)bh, where b is the base of the triangle and h is the height of the prism.
The surface area of a prism is given by the formula SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
The surface area of a pyramid is given by the formula SA = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, and l is the slant height of the pyramid.
The surface area of a cylinder is given by the formula SA = 2πrh + 2πr², where r is the radius of the base and h is the height of the cylinder.
The surface area of a cone is given by the formula SA = πrl + πr², where r is the radius of the base and l is the slant height of the cone.
The surface area of a sphere is given by the formula SA = 4πr², where r is the radius of the sphere.
A proof that uses logical reasoning and the properties of geometric figures to establish the truth of a statement.
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Two figures are similar if their corresponding angles are congruent and the ratios of their corresponding side lengths are equal.
Two figures are congruent if they have the same shape and size.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
For any polyhedron, the number of vertices plus the number of faces minus the number of edges is equal to 2.
A prism in which the lateral faces are perpendicular to the bases.
A prism in which the lateral faces are not perpendicular to the bases.
A pyramid in which the height is perpendicular to the base.
A pyramid in which the height is not perpendicular to the base.
A pyramid in which the base is a regular polygon and the height is perpendicular to the base.
The portion of a pyramid or cone that remains after the top is cut off by a plane parallel to the base.
A three-dimensional figure made up of two or more simpler figures.
Solids that have the same shape but not necessarily the same size.
Solids that have the same shape and size.