# Surface Area Formulas for geometric shapes.

## Surface Area of a Cube

**The surface area of a cube ** is 6 times one of the sides squared.

**Surface area formula of a cube:**

^{2}

where A - surface area of the cube,

a - the length of the side of each edge of the cube.

## Surface Area of a Rectangular Prism

**The surface area of a rectangular prism** is the area of the six rectangles that cover it.

**Surface area formula of a rectangular prism:**

where A - surface area of the rectangular prism,

a - length,

b - width,

h - height.

## Surface Area of a Cylinder

**Area of the cylinder side** is the perimeter of top multiplied by height.

**Area formula of the cylinder side:**

**The surface area of a cylinder** is the sum of the area of the cylinder side and two areas of top.

**The formula for the surface area of a cylinder:**

^{2}= 2 π R(R + h)

where A - area,

R - the radius of the top,

h - the height of the cylinder,

π = 3.141592.

## Surface area of a Right Circular Cone

**The lateral surface area of a cone** is slant times radius multiplied by π.

**The formula for the lateral surface area of a cone:**

**The surface area of a cone** is the sum of the area of the base (circular bottom) and the lateral surface area.

**Surface area formula of a cone:**

^{2}+ π R l = π R (R + l)

where A - area,

R - radius of the base,

l - slant height,

π = 3.141592.

## Surface Area of a Sphere

**Surface area formulas of a sphere:**

**The surface area formulas of a sphere**is 4 times radius squared multiplied by π.A = 4 π R^{2}**The surface area formulas of a sphere**is diameter squared multiplied by π.A = π D^{2}

where A - the surface area of a sphere,

R - radius,

D - diameter,

π = 3.141592.

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