![]() There are two types of areas that a prism has - the lateral surface area and the total surface area. Πrl, where r is the radius and l is the slant height of the coneĢπrh, where r is the radius and h is the height of the cylinderĤπr 2, where r is the radius of the sphereĪ prism is a 3D solid object made up of two congruent bases which are polygons and congruent lateral faces which are rectangular in shape. Lateral Surface Area (LSA)/Curved Surface AreaĢh (l + w), where l, w, and h are the length, width, and height of the cuboid Observe the table given below to learn the surface area formulas of different 3D shapes. A sphere is one 3D figure which has only one round surface with no flat base. It does not include the area of the bases. The total surface area considers all the faces of the 3D shape including the flat surfaces and the curved surfaces, while the lateral surface area is calculated to find the area occupied by the curved surface of the shape. ![]() In this section, we will learn about the various formulas used to calculate the surface area of different objects. In this particular case, we're using the law of sines.There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(Angle β) × sin(Angle γ) / (2 × sin(Angle β + Angle γ)) We're diving even deeper into math's secrets! □ In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² - (2 × b × a × cos(Angle γ)))) + a × b × sin(Angle γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: Now it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base This can be calculated using the Heron's formula:īase area = 0.25 × √, We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area.
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