Reference Sheet: 3D shapes: VOLUME AND SURFACE AREA
Rectangular Prism:
V = lwh = length x width x height
SA = 2lw + 2hw + 2lh = 2(length x width) + 2(height x width) + 2(length x height)
General Prism:
V = Bh = area of base x height
SA = sum of the areas of the faces
Right Circular Cylinder:
V = Bh = area of base x height
SA = 2B + Ch = (2 x area of base) + (circumference x height)
Right Pyramid:
V = 1/3Bh = 1/3 x area of base x height
SA = B + 1/2Pl = area of base + (1/2 perimeter of base x slant height)
Right Circular Cone:
V = 1/3Bh = 1/3 x area of base x height
SA = B + 1/2Cl = area of base + (1/2 x circumference x slant height)
Sphere:
V = 4/3πr² = 4/3 x π x cube of radius
SA = 4πr² = 4 x π x square of radius
Rectangular Prism:
V = lwh = length x width x height
SA = 2lw + 2hw + 2lh = 2(length x width) + 2(height x width) + 2(length x height)
General Prism:
V = Bh = area of base x height
SA = sum of the areas of the faces
Right Circular Cylinder:
V = Bh = area of base x height
SA = 2B + Ch = (2 x area of base) + (circumference x height)
Right Pyramid:
V = 1/3Bh = 1/3 x area of base x height
SA = B + 1/2Pl = area of base + (1/2 perimeter of base x slant height)
Right Circular Cone:
V = 1/3Bh = 1/3 x area of base x height
SA = B + 1/2Cl = area of base + (1/2 x circumference x slant height)
Sphere:
V = 4/3πr² = 4/3 x π x cube of radius
SA = 4πr² = 4 x π x square of radius