Volume/Surface Area Flashcards
Lateral Area (LA)
Sum of the area of all sides except the base(s)
Surface Area (SA)
Sum of the area of all sides (LA + B)
Cylinder LA
LA = 2πrh
Cylinder SA
SA = 2πrh + 2πr2
Cone LA
LA = πrl
Cone SA
SA = πrl + πr2
Sphere SA
SA = 4πr2
centroid
intersection of the medians located 2/3 of the distance from a vertex along a median
area of equilateral triangle
s2(sqrt(3))/4
Tetrahedron SA
SA = s2√3
Rectangular Prism SA
SA = 2(lw + lh + wh)
Rectangular Prism Volume
V = lwh
OR
V = Bh
Cube SA
SA = 6s2
Cube Volume
V = s3
OR
V = Bh
Pyramid SA
SA = B + xAtriangle
(x-the coefficient, depends on the number of triangles in the pyramid, which depends on the shape of the base)
Pyramid Volume
1/3(Bh)
Tetrahedron Volume
V = (s3√2)/12
OR
V = 1/3(Bh)
Cylinder Volume
V = πr2h
OR
V = Bh
Cone Volume
V = 1/3(πr2h)
OR
V = 1/3(Bh)
Sphere Volume
V = 4/3(πr3)