final unit. i need to do well.

Question 1

3D spatial figure

Answer 1

solid

Question 2

geometric solid with polygon as faces

Answer 2

polyhedron

Question 3

one of the polygons that form the polyhedron

Answer 3

face of a polyhedron

Question 4

intersection of two faces of a polyhedron

Answer 4

edge

Question 5

intersection of two or more edges

Answer 5

vertex

Question 6

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

Answer 6

cross sections

Question 7

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**

Answer 7

rules of a cross section

Question 8

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

Question 9

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

Answer 9

5 (5 faces)

Question 10

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

Question 11

what are the possible cross sections for a sphere

Answer 11

circles.

Question 12

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

Answer 12

all of the cross sections are identical to the bases in a prism because we have 2 translated congruent bases in parallel planes, so to calculate the volume of a prism, calculate the area of the base and then multiply it by the height of the prism

Question 13

Vprism= Bh
*B is the area of the base

Answer 13

Volume of a prism

Question 14

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

Answer 14

Cavalieri Principle

Question 15

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

Question 16

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

Answer 16

prism

Question 17

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

Answer 17

lateral faces

Question 18

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

Answer 18

right prisms

Question 19

the perpendicular distance between the two congruent bases

Answer 19

height of a prism

Question 20

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

Answer 20

oblique prism

Question 21

perimeter x height

Answer 21

lateral area

Question 22

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

Answer 22

surface area

Question 23

2pirh

Answer 23

lateral area for a cylinder

Question 24

2pirh + 2(pir2)

Answer 24

surface area for a right cylinder

Question 25

Bh aka (pir2) (h)

Answer 25

volume of a cylinder

Question 26

1/2pl

Answer 26

LA of a pyramid

Question 27

1/2pl+B

Answer 27

SA of a pyramid

Question 28

1/3Bh

Answer 28

volume of a pyramid

Question 29

pi(r)(l)

Answer 29

LA of a cone

Question 30

pi(r)(l) + (pi)(r2)

Answer 30

SA of a cone

Question 31

1/3(pi)(r2)(h)

Answer 31

volume of a cone

Question 32

how to get volume of a truculated cone

Answer 32

1)proportions between both triangles
2)find volumes for both (1/3(pi)(r2)(h) ) and then subtract from each other

Question 33

4(pi)(r2)

Answer 33

SA & LA of a sphere

Question 34

4/3(pi)(r3)

Answer 34

volume of a sphere, this is halved for a hemisphere

Question 35

composite figures

Answer 35

find areas/volumes for each basic figure and then add together

Question 36

Formula for density

Answer 36

D= M/V

Question 37

Formula for population density

Answer 37

population density= population/land area

Question 38

area of a circle

Answer 38

pi r2