Three-Dimensional Geometry

Question 1

Planes

Answer 1

Flat surfaces that stretch out forever in all directions. Must have straight edges, no curves of any kind.

Question 2

Polyhedron

Answer 2

A three-dimensional object with flat polygonal faces. Each side of the polyhedron is made up of one of the pieces of the planes. Any three dimensional shape you can create by gluing together polygons punched out of our plane is a polyhedron. All the pieces have to be glued together, can’t have an open hole somewhere.

Question 3

Platonic Solid

Answer 3

A three-dimensional shape whose faces are all the same shape and whose corners are the meeting place of the same number of polygons.

Question 4

Tetrahedron

Answer 4

A Platonic solid made from triangles and has three sides meeting at every corner.

Question 5

Hexahedron

Answer 5

A Platonic solid made from squares and has three sides meeting at each corner. It’s a cube.

Question 6

Octahedron

Answer 6

A Platonic solid whose sides consist of triangles that has four triangle sides meeting at every corner.

Question 7

Dodecahedron

Answer 7

A Platonic solid that has pentagons for its sides and that has three pentagon sides meeting at every corner.

Question 8

Icosahedron

Answer 8

A Platonic solid with triangles for sides and that has five triangle sides meeting at every corner.

Question 9

Cones definition and equation

Answer 9

A three-dimensional object with a flat base and one curved side that slants to a tip at the top. Surface area=pir^2+pirs, or if we are not given teh slant height pir^2+pir(r^2+h^2).
Volume=(pir^2h)/3

Question 10

Pyramids Definition and Equations

Answer 10

Three-dimensional objects with a polygonal base with sides that meet at one point at the top called the apex.
Surface area=B+(Pxs)/2
Volume=(Bxh)/3

Question 11

Spheres Definitiona no Formula

Answer 11

Three-dimensional shapes with no corners. Every point on the surface is the same distance from the center.
Only easruement we need for sphere is the radius.
Surface area=4pir^2
Volume=4/3pir^3

Question 12

Cylinders Definitona no Formulas

Answer 12

A three dimensional object with two round flat bases and one curved side.
Surface area=2pir(r+h)
Volume=pir^2*h

Question 13

Prisms

Answer 13

A three-dimensional object with parallel straight sides and a top and bottom base that are the same polygonal shape.
Surface Area=2b+ph
Volume=b*h