Formula Sheet

Most of the area and volume formulas you will need are listed. However, if you use a formula in Part III, you must state it clearly before using it. Also, please note that you may need to make adjustments. For example, if you are asked to find the volume of a hemisphere, you would use the sphere formula and multiply by ½. M denotes the median of a trapezoid, and ß denotes the area of the base of a solid. You are supposed to know all of the other symbols.

Plane Figures

A_circle = pr²

A_{parallelogram} = bh

A_kite = d₁d₂/2

A_{regular polygon} = ap/2

A_sector = (degrees/360) · pr²

A_{circular segment} = A_sector – A_triangle

Spheres

TSA_sphere = 4pr²

Prisms, Cylinders

V_{prism or cylinder} = ßh
LSA_prism = sum of lateral face areas (rectangles)
LSA_cylinder = 2prh
For a prism or cylinder, TSA = LSA + 2ß.
Therefore, TSA_cylinder = 2prh + 2pr² = 2pr(h + r).

Pyramids, Cones

V_{pyramid or cone} = ßh/3
LSA_pyramid = sum of lateral face areas (triangles)
LSA_cone = prl
For a pyramid or cone, TSA = LSA + ß.
Therefore, TSA_cone = prl + pr² = pr(l + r).