![]() ![]() 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. These steps are represented by the formula, where equals the lateral area of the prism and equals the area of one base. Finally, you need to add these two areas together to find the total surface area. ![]() Visual on the figure below:Ī sphere's surface area can be calculated just by knowing its diameter, or radius (diameter = 2 x radius). To find the surface area of triangular prism, you first need to find the area of the lateral sides, then you need to find the area of the bases. 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. Calculate the area of the top and base equilateral triangles: The area of the top and base equilateral triangles is 2 × (3a 2 /4). 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. 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. S lw 5 x 8 40 S lw 5x8 40 V Sh 40 x 10 400 V S h 40x10 400 Example 2 Find the volume of a triangular prism with a base of height 4 cm and base width 6 cm, and a height of 12 cm. 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. Example 1 Find the volume of a rectangular prism with a base of length 5 cm and width 8 cm, and a height of 10 cm. How to calculate the surface area of a body?. ![]()
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