Surface Area of Cube Tutors

Surface Area of Cube Tutors A cube is a closed solid geometric figure which has 3 dimensions, and hence it is known as a 3-dimensional geometric shape. A cube consists of 6 faces and every side of a cube is equal to each other. Therefore a cube is said to have all congruent faces and sides and each face is a square. The total surface area of a cube can be calculated by finding the area of each square face and adding all the areas together. Example 1: What is the total surface area of the cube if the side of the cube is 4m? Given the side length of the cube, s = 4m Since its a 3-dimensional geometric shape, it has 6 surfaces where each surface is a square of equal sides. Hence area of each surface = (side length)2 Area of each surface = (4m)2 = 16m2 There are 6 surfaces in a cube, hence = 6 * s2 = 6 * 16m2 = 96m2 Hence the total surface area of the cube = 96m2 Example 2: What is the total surface area of the cube if the side of the cube is 10m? Given the side length of the cube, s = 10m A cube has 6 surfaces and each surface is a square of equal sides. Hence area of each surface = (side length)2 Area of each surface = (10m)2 = 100m2 There are 6 surfaces in a cube, hence = 6 * s2 = 6 * 100m2 = 600m2 Hence the total surface area of the cube = 600m2