formula for total surface area of cube

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. A cube is a three-dimensional solid object that has six congruent square faces. This means they are all the same size.

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.

Formula for total surface area of 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. The surface area of the cube is be the sum of the area of the bases and the areas of the lateral surfaces of the cube. Since all six faces of the cube are made up of squares of the same dimensions, the total surface area of the cube will be the surface area of one face added six times to itself. It is measured as the "number of square units" square centimetres, square inches, square feet, etc. The surface area of a cube can be of two types,. The TSA total surface area of a cube refers to the total area covered by all six faces of a cube. To calculate the TSA, we find the sum of the areas of these 6 faces. Note that the TSA of a cube is often referred to as just surface area or area of cube. The LSA lateral surface area of a cube refers to the total area covered by the four side faces called lateral faces of a cube. To calculate LSA, we find the sum of the areas of these 4 faces.

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A cube is a 3-D solid shape, which has a total of 6 sides. A cube is one of the simplest shapes in three-dimensional space. We can also say that a cube is considered as a block, where all the length, breadth, and height are the same. Along with that, a cube has 8 vertices and 12 edges such that 3 edges meet at one vertex point. The definition of the surface area of a cube states that the total surface area is equal to the sum of all the areas of the faces of the 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. The measurement of the surface area of a cube holds significance within the realm of geometry and finds practical application in various real-life scenarios, including architecture, engineering, and manufacturing. Similarly, manufacturers employ this measurement to compute the quantity of paint or coatings required to cover the surface of objects shaped like cubes.

Formula for total surface area of cube

Last Updated: October 17, Fact Checked. This article was co-authored by David Jia. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed , times. The surface area of an object is the combined area of all of the sides on its surface. All six sides of a cube are congruent, so to find the surface area of a cube, all you have to do is find the surface area of one side of the cube and then multiply it by six. If you want to know how to find the surface area of a cube, just follow these steps. If you don't know the length of the sides, you can find the surface area using volume.

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Work out the surface area of the cube. Example 2: Find the side of a cube whose total surface area is cm 2. If a is the edge length of a surface of a cube, then the formula of surface area is given by 6a2. This means they are all the same size. The volume of the cube is the three-dimensional space in a shape and is measured in cubic units. Work out the length of the side x correct to 2 decimal places. The diagram shows a cube of side 3cm. Along with that, a cube has 8 vertices and 12 edges such that 3 edges meet at one vertex point. The six faces of the cube occupy some space which we need to find using the formula, i. Surface Area of Cube. The total surface area of a cube is equal to six times the square length of the sides of a cube, i. Using this formula we get the side of the cube and then the surface area is calculated using the side, or we can use the direct formula given below:. Cubiod is a 3-dimensional figure made of six rectangles of different dimensions than the formula for surface area of a cuboid,. How to calculate the surface area of a cube. What is the length of the side of a cube, and what is its lateral surface area?

What is the shape of a dice? Both these objects have the shape of a cube.

The lateral surface area of cube is the total surface area of the cube, which is equal to sum of areas of all its sides. Watch Now. Create Improvement. Q4 What is the surface area of cube? Solution: First Method: Let 'a' be the side length of the cube. Q4: A cube of side 6 cm is to be whitewashed all over the surface. Save Article Save. What is the lateral surface area of cube? Write your answer in square centimetres. Please Login to comment Trending in News. The formula of the total surface area of the cube is used to find the area occupied by the six surfaces. Show answer.

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