Ch. 4 - Solid Geometry Flashcards
Volume of a prism
Prisms are three-dimentional figures that have two parallel, identical bases that are polygons.
V = Bh
B represents the area of the base of the prism, and h represents the height of the prism.
Volume of a rectangular solid
V = lwh
Surface area of a Rectangular Solid
SA = 2lw + 2wh + 2lh
Long Diagonal of a Rectangular Solid
(Super Pythagorean Theorem)
l2 + w2 + h2 = d2
Volume of a Cube
V = s3
Surface Area of a Cube
SA = 6s2
Face Diagonal of a Cube
ƒ = s√2
Long Diagonal of a Cube
d = s√3
Volume of a Cylinder
V = πr2h
Surface Area of a Cylinder
SA = 2πr2 + 2πrh
Longest line that can be drawn inside a cylinder
d2 = (2r)2 + h
Voume of a Cone
V = 1/3 πr2h
(just one-third the volume of a circular cylinder)
Surface Area of a Cone
SA = πrl + πr2
Volume of a Sphere
V = 4/3 πr3
Surface Area of a Sphere
SA = 4πr2