3-D Volume

Formula: Area of a circle

• @@A=rac{1}{2} imes ext{base} imes ext{height}@@

• @@A=rac{4}{3} imes rac{22}{7} r^3@@

• @@A=rac{1}{2} imes ext{perimeter} imes ext{height}@@

• @@A= ext{π} r^2@@

Formula: area of a trapezoid

• @@A=rac{ ext{(b_1+b_2)}h}{2}@@

• @@A=rac{b_1 imes h}{2}@@

• @@A=b_1 imes h@@

• @@A=rac{b_1 + b_2 + h}{2}@@

A cross section parallel to the base of a prism is _____________ to the base shapes (face) area

• Similar

• Congruent

• Proportional

• Dissimilar

Formula: Circumference of a circle

• @@C=rac{d}{2}@@

• @@C=rac{2}{ ho}@@

• @@C=rac{1}{2} imes ext{diameter}@@

• @@C= ext{d} imes rac{ ext{π}}{1}@@

A prism must have ________ and _________ bases

• 
• two identical

• two rectangular

• two triangular

A cross section parallel to the base of a pyramid must be ___________ to the base shape

• Similar

• Different shape, same size

• Completely unrelated

• Same shape, different size

A prism where the lateral faces are not perpendicular to the bases is an _________ prism

• Oblique ("slanted")

• Rectangular

• Triangular

• Cylindrical

Name the shape and Volume formula

• Sphere: @@V=rac{4}{3} imes rac{22}{7}r^3@@

• Cube: @@V=a^3@@

• Cylinder: @@V=rac{22}{7}r^2h@@

• Cone: @@V=rac{1}{3} imes rac{22}{7}r^2h@@

Name the shape and Volume Formula

• Cylinder: @@V=rac{1}{3} imes ext{Base Area} imes ext{Height}@@

• Cone: @@V=rac{1}{3} imes ext{Base Area} imes ext{Height}@@

• Sphere: @@V=rac{4}{3} imes rac{22}{7}r^3@@

• Cube: @@V=s^3@@

The maximum number of sides in a cross section of a polygonal prism is equal to the number of ________ _________ of the prism

• Lateral edges

• Lateral faces

• Base angles

• Vertex points