surface area of cubes and rectangular prisms

The surface area of a rectangular tank is the sum of the area of each of its faces: He is curious whether his heated water cools faster than when in a bathtub, and needs to calculate the surface area of his cylindrical tank of height 5.5 feet and radius of 3.5 feet. Jeremy has a large cylindrical fish tank that he bathes in because he doesn't like showers or bathtubs. The surface area of a closed cylinder can be calculated by summing the total areas of its base and lateral surface: She custom orders a Rubik's Cube in which all the faces are black, and has to pay for the customization based on the surface area of the cube with an edge length of 4 inches. 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. Home / math / surface area calculator Surface Area Calculator

Surface area of cubes and rectangular prisms