![]() You need just two measurements: the diameter of the base and it's height, but the calculus is more involved than most of the other simple bodies. The surface area of a cone is one of the most complicated and it is where the need for a calculator becomes more apparent. The surface area formula for a cone, given its diameter (or radius) and height is π x (diameter / 2) 2 + π x (diameter / 2) x √ ((diameter / 2) 2 + (height 2)), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius 2 + π x radius x √ (radius 2 + (height 2)), as seen in the figure below: To find the SA simply multiply 4 times 3.14159 times the radius square. π is, of course, the well-known mathematical constant, about equal to 3.14159. Visual on the figure below:Ī sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2. ![]() to find the surface area of a cube with a side of 3 inches is to multiply 3 x 6 = 18 square inches. Finally, for our big sides we have an area of 32 times 20. For the short sides we get an area of 128 but multiply that by 2 and we end up with 256. For the ends we get 80 square units, but there are 2 ends, so we multiply that by 2, 160. You can remember that volume is a cubed value by recalling a few volume unit names, such as cubic meters. Or, more simply: height times width, times 2 height times length, times 2 length times width, times 2. side 2 is the surface of one of the sides, and since the cube has 6 equal sides, multiplying by 6 gives us the total cube surface area. Area is a 'squared' value, as the area of a shape covers two dimensions. This calculation requires only one measurement, due to the symmetricity of the cube. The surface area formula for a cube is 6 x side 2, as seen in the figure below: The result from our surface area calculator will always be a square of the same unit: square feet, square inches, square meters, square cm, square mm. In all surface area calculations, make sure that all lengths are measured in the same unit, e.g. Below are the formulas for calculating surface area of the most common body types. How to calculate the surface area of a body?ĭepending on the type of body, there are different formulas and different required information you need to calculate surface area (a.k.a. How to calculate the surface area of a body?. ![]()
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