Let's try out some examples to find total surface area of CuboidĮxample 1 :A plastic box is 1.5m long, 1.25m wide and 65cm deep, Ignoring the thickness of plastic box, calculate its total surface areaĪnswer: Below things are given in the example Note: Total Surface Area of Cuboid is always in square units e.g. Lateral Surface Area of Cuboid = 2(BH + LH + LB) Hence, in this way Lateral Surface Area of Cuboid is obtained: Lateral Surface Area of Cuboid = (H X B) + (H X B) + (L X H) + (L X H) + (L X B) + (L X B) Now put the values of all faces from statement 2, 3, 4, 5, 6 & 7 and put them into statement 1. (Statement 5)Īrea of Bottom Face = L X B. Similarly, Area of Right Side Face = h X b. Since all face in the shape of rectangle, so to find area of faces apply formula of area of rectangle and we get:Īs shown in the diagram, length = height, so we get:Īrea of Left Face = height X breadth = h X b. Total Surface Area of Cuboid = Area Left side face + Area of Right side face + Area of Front Face + Area of Back Face + Area of Bottom Face + Area of Upper Face. left side face, right side face, front face, back face, bottom face and upper face (as shown in following four pictures): Total surface includes all 6 faces of the cuboid i.e. Green lines represent breadth of cuboid (B)īlue lines represent height of cuboid (H) How formula for total surface area of cuboid is obtained If in a question you are asked to find surface area of cuboid that means you have to find the total surface area of cuboid. Or in other words : A cuboid has 6 rectangular faces, so the area of all 6 rectangular faces will be the total surface area of cuboid.Ĭalculating Total Surface Area of Cuboid or Surface Area of Cuboid is one and the same thing. So the formula to find the total surface area of cuboid = 2 So total surface area of room includes - length, breadth, height, floor and ceiling of room. Suppose we have a cuboid shape room like as below 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.Home > Three dimensional object > Cuboid > Total Surface area of Cuboid > Total Surface area of Cuboid 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. 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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