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Surface Area Formulas for geometric shapes.

The surface area
- is the sum of areas of all shapes that cover the surface of the geometric figure.

Surface Area of a Cube

Cube

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

Surface area formula of a cube:

A = 6 a2

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

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:


A = 2(a · b + a · h + b · h)

where A - surface area of the rectangular prism,
a - length,
b - width,
h - height.

Surface Area of a Cylinder

Cylinder

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

Area formula of the cylinder side:


A = 2 π R h


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:


A = 2 π R h + 2 π R 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

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:


A = π R l


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:


A = π R2 + 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

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 R2
  • The surface area formulas of a sphere is diameter squared multiplied by π.

    A = π D2

where A - the surface area of a sphere,
R - radius,
D - diameter,
π = 3.141592.

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