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. 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. Here, the SI units are given along with their respective. Step 3: Finally, the dimensional analysis will be displayed in the new window. Step 2: Now click the button Submit to get the analysis. This calculation requires only one measurement, due to the symmetricity of the cube. The procedure to use the Dimensional Analysis calculator is as follows: Step 1: Enter two physical quantities in the respective input field. 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. Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair. Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle. 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. Area of Rectangle Length of RectangleBreadth of Rectangle. How to calculate the surface area of a body?.So, the conversion factor to multiply by to convert from m 2 to ft 2 is about 10.7639104. Dividing both sides of the equation by 0.09290304 we get about 10.7639104 ft 2 = 1 m 2. Knowing that 1 ft 2 = 0.09290304 m 2 we can now find the conversion factor for converting back. The value in the table, 0.09290304, is more accurate. Note that there are rounding errors in this value. Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that ft will cancel out leaving you with m.ġ ft 2 = 1 ft 2 * (1 m / 3.28084 ft) * (1 m / 3.28084 ft) = 0.0929030 m 2Īnd we now have our factor for conversion from ft 2 to m 2 since 1 * 0.0929030 = 0.0929030. Say you want to convert from ft 2 to m 2. To understand how to also convert the units follow this example. So, to convert directly from ft 2 to mm 2 you multiply by 92903.04. Or, you can find the single factor you need by dividing the A factor by the B factor.įor example, to convert from ft 2 to mm 2 you would multiply by 0.09290304 then divide by 0.000001. To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into m 2 then divide by the factor for B to convert out of m 2. To convert from m 2 back into units in the left columnĭivide by the value in the right column or, multiply by the reciprocal, 1/x.Ĥ.645152 m 2 / 0.09290304 = 50 ft 2 Multiply by the value in the right column in the table below.ĥ0 ft 2 * 0.09290304 = 4.645152 m 2 To simply convert from any unit into m 2, for example, from 50 ft 2, just This lessens the effect of small islands and artifacts when calculating the centroid. Where S is our starting value, C is our conversion factor, and Takes one or more features and returns their area in square meters. How to Convert Units of AreaĬonversions are performed by using a conversion factor. By knowing the conversion factor, converting between units can become a simple multiplication problem: Convert units of area by entering the value to convert and the from and to units.
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