![]() ![]() The surface area of a cube can be calculated by summing the total areas of its six square faces:Īnne wants to give her younger brother a Rubik's cube for his birthday, but knows that her brother has a short attention span and is easily frustrated. She determines the surface area of material she needs to create her hat with a radius of 1 foot and a height of 0.5 feet as follows: ![]() She decides to make one of her own, and being a very practical person not mired in sentimentality, retrieves her mother's wedding dress from the dark recesses of the wardrobe in which it resides. Where r is the radius and h is the heightĪthena has recently taken an interest in Southeast Asian culture, and is particularly fascinated by the conical hat, typically referred to as a "rice hat," which is commonly used in a number of southeast Asian countries. The equations to calculate each, as well as the total SA of a closed circular cone are shown below: The "base SA" refers to the circle that comprises the base in a closed circular cone, while the lateral SA refers to the rest of the area of the cone between the base and its apex. The surface area of a circular cone can be calculated by summing the surface area of each of its individual components. Given that each truffle has a radius of 0.325 inches: When she receives a box of Lindt truffles, she proceeds to calculate the surface area of each truffle in order to determine the total surface area she has to lick to decrease the probability that anyone will try to eat her truffles. Xael doesn't like sharing her chocolate truffles with anyone. The surface area (SA) of a sphere can be calculated using the equation: ![]() Please refer to the aforementioned calculators for more detail on each individual object. As such, this calculator will focus on the equations for calculating the surface area of the objects and the use of these equations. All of the objects addressed in this calculator are described in more detail on the Volume Calculator and Area Calculator pages. The surface area of a solid is a measure of the total area occupied by the surface of an object. Related Volume Calculator | Area Calculator | Body Surface Area Calculator Square Pyramid Surface Area Base Edge (a) Base Radius (r)Ĭonical Frustum Surface Area Top Radius (r) Please provide any two values below to calculate. Ball Surface Area Radius (r)Ĭylindrical Tank Surface Area Base Radius (r) Use the calculators below to calculate the surface area of several common shapes. In this particular case, we're using the law of sines.Home / math / surface area calculator Surface Area Calculator 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. Choose the ▲ 2 angles + side between optionĢ.If you're given 2 angles and only one side between them If they give you two sides and an angle between them Input all three sides wherever you want (a, b, c). ![]() If they gave you all three sides of a triangle – you're the lucky one! You can input any two given sides of the triangle – be careful and check which ones of them touch the right angle (a, b) and which one doesn't (c).You need to pick the ◣ right triangle option (this option serves as the surface area of a right triangular prism calculator).If only two sides of a triangle are given, it usually means that your triangular face is a right triangle (a triangle that has a right angle = 90° between two of its sides). Find all the information regarding the triangular face that is present in your query: ![]()
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