Master the 7 pillars of school success

SA =Surface Area equals the total area of the surface of the solid. Measured in units squared

V =Volume equals the number of cubic units that can fit inside the solid. Measured in units cubed

LA =Lateral area which equals the surface area minus the bases

# Surface Area Formula Chart

= apothem The distance from the center of a figure to the closest side

sl = slant height On a cone or pyramid it is the distance from the apex down the side to the edge of the base

B = Base Area the total area of the base and depends on the shape of the base.

h = height the vertical distance from the vertex of an object straight down to the base.

P = Perimeter of base the distance around the base

## Formulas for Geometry

 Shape Lateral Area Surface Area Volume Cone πrsl r = radius sl = slant height πrsl+πr^2 r= radius sl = slant height 1/3πr^2   r = radius Cube 4s^2   S =side SA= 6s^2 s = side V= s^3 s=side Cylinder Circumference x Height LA + 2πr^2 r = radius V=πr^2 h r = radius h=altitude height Prism Perimeter x height LA + 2Base V=Bh B depends on shape H = height Pyramid 1/2P * sl   sl =slant height P=perimeter LA + 1Base LA =lateral area V=1/3 B * h B depends on Base h=height Rectangular Solid Perimeter *height SA=2(lw + lh + hw) V= length x width x height Regular Pyramid LA = ½ P*sl P = sum of the sides sl =slope height SA = ½ Psl + B B=depends on shape P =perimeter sl =slope height V = 1/3 Bh B = depends on shape h = height Right Cone LA = ½ Psl P=2πr sl = slant height Sa =1/2 Psl + B P = Dπ or 2πr B = πr^2 sl =slant height V = 1/3 Bh B = πr^2 h =height Right Cylinder LA = 2πr*h   h = height r = radius SA = 2πr + 2πr^2 r =radius V = Bh B = πr^2 h =height Right Prism LA = Ph P = sum of base sides SA = Ph + 2B P =perimeter h =height B =Base V= l*w*h B x h if it is not rectangle Sphere SA = 4πr^2 r =radius V= 4/3 πr^3   r =radius