2- & 3-Dimensional Objects Flashcards
A regular polyhedron(all the sides are congruent & all the angles are congruent). There are only 5 regular polyhedral (tetrahedron, cube, octahedron, dodecahedron, or icosahedrons)
Platonic solid
an object composed of 3 or more closed sides
Polygon
On object made up of simple shapes, such as triangles, rectangles, trapezoids, &circles
Composite figure
A 3-dimensional figure whose surfaces are polygons
Polyhedron
The surfaces of a polyhedron
Face
a segment that is formed by the intersection of two faces
Edge
A point where three or more edges intersect
Vertex
A two-dimensional pattern that you can fold to form a three-dimensional figure
Net
A polyhedron with six faces, each of which is square
Cube
The space that a figure occupies. If is measured in cubic units
Volume
If two space figures have the same height and the same cross-sectional area at entry level, then they have the same volume
Cavalieri’s principle
The same shape and all their corresponding dimension are proportional
Similar solids
The ratio of corresponding linear dimensions of two similar solids
Similarity ratio
Intersection of a 3-dimensional figure and a plane
Cross-section
A polyhedron with exactly two congruent, parallel faces
Prism
The congruent and parallel faces of a prism
Bases
The non-parallel faces of a prism
Lateral faces
The perpendicular segment that hound the planes of the bases, aka height
Altitude of prism
The lateral faces are rectangles and the height is and edge of the prism
Right prisms
The lateral faces are rectangles and the height is outside the prism
Oblique prism
The sum of the areas of the lateral faces
Lateral area of prism
Sum of the lateral area and the area of the two bases
Surface area of a prism