Surface Area, Volume, Perimeter Unit

Question 1

Surface Area

Answer 1

Total area of a shape

Question 2

Lateral Faces

Answer 2

the faces of the shape that are not the base(s).

Question 3

Lateral Area

Answer 3

sum of the areas of the lateral faces

Question 4

Prism (Surface Area)

Answer 4

2B + Ph

B = Area of the base
P = perimeter of the base
h = the height of the prism

Question 5

Cylinder (Surface Area)

Answer 5

2πr^2 + 2πrh

2πr^2 = area of the two bases
2πrh = lateral area

Question 6

Tetrahedron (Surface Area) - All four faces are equilateral tris

Answer 6

SA = 2s^2sin60

SA = s^2 √3

Question 7

Polyhedron

Answer 7

A 3-D solid bounded by polygons. Regular polyhedron are the most popular.
Ex)
Regular Tetrahedron - 4 regular triangular faces
Cube - 6 regular square faces
Regular Octahedron - 8 regular triangular faces
Regular Dodecahedron - 12 regular pentagonal faces
Regular Icosahedron - 20 regular triangular faces

Question 8

Face

Answer 8

The polygons that bound a polyhedron. They are flat surfaces

Question 9

Edge

Answer 9

the line segments that are formed by the intersection of two faces

Question 10

vertex

Answer 10

a point where three or more edges meet.

Question 11

Euler’s Formula

Answer 11

Faces + Vertices = Edges +2

F + V = E+ 2

Question 12

Sphere (Surface Area)

Answer 12

SA = 4πr^2

Question 13

Sphere (Volume)

Answer 13

4/3πr^3

Question 14

Prism (Volume)

Answer 14

V = Bh

Question 15

Cylinder (Volume)

Answer 15

V = πr^2 h

Question 16

Pyramid (Volume)

Answer 16

V = Bh/3

Question 17

Cone (Volume)

Answer 17

V = πr^2 h/3

Question 18

Cone (Surface Area)

Answer 18

SA = πr^2 + πrl

l = slant height

Question 19

Pyramid (Surface Area)

Answer 19

SA = B + 1/2Pl

l = slant height

Question 20

The Frustrum (Volume)

Answer 20

V = 1/3πh(r₁^2 + r₂^2 + r₁ r₂)