Geometry Honors Chapter 12 Review

Review of Formulas for Surface Area and Volume of 3D Figures

Surface Area of a Cone

Surface Area = Area of Base (Circle) + π(radius)(slant height)

Volume of a Cone

Volume = (Base)(Height)/3 or (πr²)(height)/3

Surface Area of a Cylinder

Surface Area = 2(πr²) + (Circumference)(Height)

Volume of a Cylinder

Volume = (Base)(Height) or (πr²)(height)

Definition of a Polyhedron

Not a cylinder, sphere, or cone (no circles)

Surface Area of Prisms

Surface Area = (Perimeter)(Height)

Surface Area of a Pyramid

½ (Perimeter)(Slant Height)

Volume of a Prism

Volume= (Base)(Height)

Volume of a Pyramid

1/3(length)(width)(height)

What Volume formula do pyramids and cones have in common?

V=BH/3

Volume of a Sphere

4/3(π)(r³)

Surface Area of a Sphere

4πr²

Surface Area of a Hemisphere

3πr²

Volume of a Hemisphere

(2/3)(π)(r³)

In similar solids, what is the scale factor from surface length to surface area?

Square it

In similar solids, what is the scale factor from surface length to volume?

Cube it

In similar solids, what is the scale factor from surface area to surface length?

Square root

In similar solids, what is the scale factor from volume to surface length?

Cube root

In similar solids, what is the scale factor from volume to surface area?

Cube root, then square root

Lateral Area for a Cone

πrl

What does the arc length of the sector equal? (Cone)

Circumference

Theta over 360 Equals…

Radius over Slant height

Radius over Slant Height Equals…

Theta over 360