Formula for total surface area of cube

Here we will learn about the surface area of a cube, including how to calculate the surface area of a cube and how to find missing values of a cube given its surface area. The surface area of a cube is the sum of the areas of all the faces of a cube.

The surface area of the cube, a six-faced three-dimensional object, is defined as the total area covered by all six faces of the cube. The total surface area of a cube can be calculated if we calculate the area of the two bases and the area of the four lateral faces. A cube is a three-dimensional solid figure which consists of square faces. The surface area of a cube is an important geometric measurement and is used in many real-life applications, such as architecture, engineering, and manufacturing. For example, architects use the surface area of a cube to determine the amount of material required to construct a building or a room, while manufacturers use it to calculate the amount of paint or other coatings needed to cover the surface of a cube-shaped object. Let us learn the surface area of cube formula along with how it is derived.

Formula for total surface area of cube

Surface area of cube is defined as the total area covered by all the faces of a cube. In geometry, a cube is a solid three-dimensional form of a square. A cube has six square faces, eight vertices, and twelve edges. Since the six faces of a cube are squares, the length, breadth, and height of a cube are equal. Thus, the surface area of the cube is six times the area of a square. The surface area of a cube is the sum of the areas of all sides. The region occupied by any shape is called the area. The total area covered by all six sides or faces of a cube is called the surface area of a cube. Hence, the total surface area of a cube is the sum of the areas of its six faces or sides. The total surface area of a cube is equal to six times the square length of the sides of a cube, i. The unit of the surface area of a cube and the total surface area of a cube is measured in square units, i. There can be two types of surface areas of a cube.

You may find it helpful to start with the main cuboid lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. The formula to calculate the surface area, S, of a cube is.

Surface area of cube is the sum of areas of all the faces of cube, that covers it. The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a 2 , where a is the side length of cube. It is basically the total surface area. Also, learn Volume Of A Cube. When a cube is kept in a three-dimensional space, the area occupied by the sides of the cube in the space is called surface area of cube. In real world, we have been surrounded by many solid objects which have their own area as well volume.

This surface area calculator helps you find the area of the most common three-dimensional solids. If you have ever wondered how to find a surface area or what is the lateral surface area, this calculator is here to help you. Surface area has a gigantic list of applications in every field, such as aerodynamics. We will also explain how to calculate the surface area of a sphere as an example. Surface area is the total area that the surface of the object occupies. In other words, it's the total area of the surface of a 3D object. Sometimes the surface area may be split into a sum of base area s and lateral surface area.

Formula for total surface area of cube

Learn how to find the surface area of a cube with our simple cube surface area formula. The surface area of a cube is calculated by combining the area of its bases with the area of its lateral surfaces. October 7, The Surface Area of a cube formula, a three-dimensional object with six faces, is defined as the collective area encompassed by all six sides of the cube. Calculating the total surface area of a cube involves determining the area of its two base faces as well as the area of the four lateral faces. A cube, characterized by its six congruent square faces, is a solid figure in three-dimensional space.

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If the diagonal of the cube is given then its side is calculated using the formula. By following the steps mentioned below, we can find the surface area of the cube:. Suggest Changes. Example 2: Find the side of a cube whose total surface area is cm 2. The formula of the total surface area of the cube is used to find the area occupied by the six surfaces. You also have the option to opt-out of these cookies. Save Article. The base of the cube is in the shape of a square. You need to make sure all measurements are in the same units before calculating the surface area. Trending in News. Instead, the volume or diagonal might be given.

Cube Formulas as the name suggest are all the formulas of a cube to calculate its volume, surface areas and diagonal.

Work Experiences. Example 6: Find the ratio of the total surface area of a cube to its lateral surface area. The curved area of a cube is the total area covered by the lateral or side faces of a cube. Step 1: Find out the side length of the cube Better if already given. Cubiod is a 3-dimensional figure made of six rectangles of different dimensions than the formula for surface area of a cuboid,. Article Tags :. Learning checklist. The formula to find the area of the base of a cube which is nothing but area of square formula is a 2 , where a is the length of the side of the cube. Where A is the total surface area of the cube. This article is being improved by another user right now. Save Article. The surface area is the region occupied by the surfaces of the cube in a three-dimensional space.