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Prism
A solid geometric figure with two parallel and congruent bases connected by rectangular faces.
Properties of Prisms
2 congruent, polygonal bases identical to each other that can be any shape parallel to each other
Joined with sides that are quadrilaterals
No curved surfaces
Named for the shape of its base
May be right-angled or oblique
The height of a prism is the distance between its bases
Pyramid
A solid figure with one base (any shape) and triangular sides that meet at a vertex.
Properties of Pyramids
One base that can be any shape
Vertex that is parallel to the base and connects to all edges of the base
Triangular sides
Named for the shape of its base
May be right-angled or oblique
Cylinder
A solid figure with two parallel circular bases and no vertices.
Properties of Cylinders
No vertices
2 circular bases parallel to each other
One quadrilateral side
May be circular; edges may be curved, straight, or some combination of curved and straight.
May be right-angled or oblique
The height of a cylinder is the distance between its bases
Plane Symmetry
A 2D surface dividing a 3D shape into two congruent and mirrored halves.
Rotational Symmetry
When an object can rotate around an axis and find a new position that matches its original position.
Axis of Rotation
An imaginary line that an object rotates on, serving as the pivot point for that rotation.
Area of a Rectangle
The formula is Area = l x w.
Surface Area of a Rectangular Prism
The formula is Area = 2(wl + hl + hw).
Volume of a Cylinder
The formula is V = πr²h.
Capacity of a Container
The formula is V = l x w x h.