final unit. i need to do well.

3D spatial figure

geometric solid with polygon as faces

one of the polygons that form the polyhedron

intersection of two faces of a polyhedron

intersection of two or more edges

the face that is formed when you make a slice through an object

not all cross sections need to be parallel to a face & **the number of faces dictates the maximum number of sides a cross section can have**

cross sections can’t be circles because you can’t slice a curve, and the maximum number of sides is a 6 so you can’t have cross sections for octagons or decagons

what is the max number of sides of a polygon cross section for a triangular prism

you can create a rectangle as a cross section for a cylinder because if you slice a cylinder perpendicular it should create a rectangle

what are the possible cross sections for a sphere

stacking principle of the volume of a prism there’s literally 2 congruent translated bases already in a prism so the cross sections are identical to those bases

Vprism= Bh *B is the area of the base

If the AREA OF THE CROSS SECTIONS ON BOTH SOLIDS by any plane II to a given plane are invariably equal, the solids have the same volume If a right prism and oblique prism have the same height and the same base, they have the same volume

revolving 2-d shapes creating a cylindrical shape- figures are rotated about an axis to fill space and create volume

a polyhedron with bases (in parallel planes) that are 2 congruent polygons

the other side off the prism when bases of the prism are in parallel planes

the base and lateral edges are perpendicular to each other, and the height of the prism is a lateral edge

the perpendicular distance between the two congruent bases

when the base and lateral edges are not perpendicular, the lateral faces are parallelograms instead of rectangles

perimeter x height

lateral area + area of the bases (LA + 2B)

2pirh

2pirh + 2(pir2)