#### Study sets matching "chapter 12 geometry formulas"

#### Study sets matching "chapter 12 geometry formulas"

Theorem 12.1 Euler's Theorem(12-1)

12.2 Surface Area of a Right Prism (2…

Surface Area of a Right Cylinder

Surface Area of a Regular Pyramid(12.3)

F+V=E+2 (f faces v vertices e edges)

S=2B+Ph OR S=aP+Ph (s surface area, B area of the base, P per…

S=2B+Ch OR (2)(pi)(r^2) +(2)(pi)rh (B area of the base, C cir…

S=B+ (1/2)(P)(l) (s surface area,, B area of the base, P peri…

Theorem 12.1 Euler's Theorem(12-1)

F+V=E+2 (f faces v vertices e edges)

12.2 Surface Area of a Right Prism (2…

S=2B+Ph OR S=aP+Ph (s surface area, B area of the base, P per…

Lateral Face of Right Prism

What does big (B) stand for?

How do you find big (B)?

If Lateral Faces are rectangular than.…

faces that are not bases

B = Area of base

Use the regular area formula depending on what polygon

.......Than it is a right prism (oblique prism)

Lateral Face of Right Prism

faces that are not bases

What does big (B) stand for?

B = Area of base

Prisms: 2 bases are always ___ and ____

Prisms: lateral area

Prisms: total area

Prisms: volume

parallel and congruent

sum of rectangular faces

Lateral area + 2 bases

(base area) x height

Prisms: 2 bases are always ___ and ____

parallel and congruent

Prisms: lateral area

sum of rectangular faces

Surface Area of a Prism

Surface Area of a Cylinder

Surface Area of a Pyramid

Surface Area of a Cone

2B + ph

2(3.14...)(r^2) + 2(3.14...)(r^2)(h)

B + 1/2pl (l=slant height)

(3.14...)(r^2) + (3.14...)(r)(l)

Surface Area of a Prism

2B + ph

Surface Area of a Cylinder

2(3.14...)(r^2) + 2(3.14...)(r^2)(h)

Prism- Lateral Area

Prism- Total Area

Prism- Volume

Pyramid- Lateral Area

Ph (Perimeter of Base x Height)

LA + 2B (Lateral Area + 2(Area of Base))

Bh (Base Area x Height)

1/2pl (1/2 Perimeter of the Base x Slant Height)

Prism- Lateral Area

Ph (Perimeter of Base x Height)

Prism- Total Area

LA + 2B (Lateral Area + 2(Area of Base))

lateral area of a cylinder

total area of a cylinder

lateral area of a cone

total area of a cone

2 x pie x radius x height

2 x pie x radius x height + 2 x pie x radius^2 (squared)

pie x radius x slant height

pie x radius x slant height + pie x radius^2 (squared)

lateral area of a cylinder

2 x pie x radius x height

total area of a cylinder

2 x pie x radius x height + 2 x pie x radius^2 (squared)

Lateral of a prism

surface of prism

lateral of cylinder

surface area of cylinder

Ph (P=perimeter of base and h=height of prism)

L+2B (L =lateral area and B = area of base)

2pirh (r=radius and h=height)

2pirh+2pirsquared

Lateral of a prism

Ph (P=perimeter of base and h=height of prism)

surface of prism

L+2B (L =lateral area and B = area of base)

Standard equation of a circle

Intersecting angle formed OUTSIDE a ci…

Intersecting angle formed INSIDE a cir…

Case I

(x-h)^2 + (y-k)^2 = r^2

1/2(x-y) ... variables are the intercepted arcs

1/2(x+y) ...variables are the intercepted arcs

ab=cd ... ALL inside

Standard equation of a circle

(x-h)^2 + (y-k)^2 = r^2

Intersecting angle formed OUTSIDE a ci…

1/2(x-y) ... variables are the intercepted arcs

Lateral Area Prism

Total Surface Area Prism

Lateral Area Cylinder

Total Surface Area Cylinder

Ph (perimeter x height)

Ph + 2B (Perimeter x height + 2 Bases)

2πrh (2 x pi x radius x height)

S=2πrh+2πr^2

Lateral Area Prism

Ph (perimeter x height)

Total Surface Area Prism

Ph + 2B (Perimeter x height + 2 Bases)

Surface Area of Prism

Surface Area of Cylinder

Surface Area of Pyramid

Surface Area of Cone

S = 2B + Ph... LA = Ph

S =2πr²+2πrh ... LA =2πrh

S = B + ½ Pl... LA =½ Pl

S =πr²+πrl... LA =πrl

Surface Area of Prism

S = 2B + Ph... LA = Ph

Surface Area of Cylinder

S =2πr²+2πrh ... LA =2πrh

Prism

surface area for ANY right prism

volume of any prism

Right Rectangular Prisms

-3D solid ... - two congruent, parallel, faces ... -sides are quadr…

SA = 2B + hp

V = Bh

V = lwh ... SA = 2(lw) + 2(lh) + 2(wh)

Prism

-3D solid ... - two congruent, parallel, faces ... -sides are quadr…

surface area for ANY right prism

SA = 2B + hp