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Find The Surface Area Of a Cube Whose Edge Is 11 Cm

Referencing Styles : APA | Pages : 1

A space of region, which is formed by six uniform square faces that are joined with their edges, is known as Cube. To construct a vertex, the three edges need to join at every corner. A cube is also known as regular hexahedron. Sometimes it is also referred as Platonic solids, which is one from five regular polyhedrons. Cube is three-dimensional shape. It features the right height and right angles, depth and width. These are equal.  Cube has eight vertices or points, six square faces and twelve edges. The objects, which are in a shape of a cube is sometimes known as cubic. It is an exceptional geometric shape includes some groups such as solid, regular and platonic hexahedrons. The surface area of cube has a formula. If the length of the edge is referred as ‘a’ then the surface area will be 6a2 or it can be written as = 6 * edge * edge. Like surface area, cube also has a formula to calculate its volume. If an edge is referred to ‘a’ then the volume will be a3 or it can be written as = edge * edge * edge. With a particular area of surface, cube has the largest volume among the all cuboids. Many dice are like a shape of a cube. It features the number from 1 to 6 on the various faces. Various types of eleven nets can be constructed by plaiting the six faces of square of the cube. A square is like a cube in many ways of dimensions.

There are many parts of a cube such as face, vertex, edge, space diagonal and face diagonals.

Faces of a cube are also known as sides and facets. A cube consists of six sides or six faces and all the faces or sides are squares. Therefore, each sides or faces consist of four equal sides. All the four angles of the faces are right angles.

In a cube, a point is constructed where the three edges meet. A cube consists of eight vertices.

All the line segments are constructed where the two edges of the cube meet. A cube consists of twelve edges. As all the sides or the faces are congruous and square to each other, the twelve edges of the cube are same in length.

Face diagonals are the line portions, which are linking with the opposite corners of the face. Every face consists of two line segments and in total; it consists of twelve line segments in a cube. The formula of the face diagonal length is given as:

Face diagonals = √2s2

In this formula, s is denoted for length of the one side or the edge. As the sides or the faces of the cube are square, these all are equal with the diagonal of a square.

Space diagonals are the line portions, which are linking with the opposite corners of the cube. It cuts through its inside. A cube consists of four space diagonals. The formula of the space diagonal length is given as:

Space diagonals = √3s2

The properties of a cube are surface area and volume of the cube.  The volume of a cube is s3. Here the s is denoting the length of the side or the edge of the cube. Surface area of one cube is 6s2. Here the s is denoting the length of the side or the edge.  

As it is known that, the cube consists of the edges, which all are same in length. That means every faces or the side of the cube is square. There are six faces or sides in the cube. Therefore, the total area of the surface of the cube is six time of the area of one face. The formula of the surface area of a cube is as follows:

Surface area of cube = 6a2

Here in this formula, the length of the edge or side of the cube is denoted by a. when the area is known, the length of the edges or side can be found using the formula:

Edge length of the cube = √a/6

Here in this formula of the edge length, the surface area of a cube is denoted by a.

The length of the surface area and the side or the edge of the cube is equal in unit. Therefore, if the length of the side or the edge is in miles, then the length of the surface area will be in square miles.

Here the solution needs of a surface area of a cube and the edge is 11 cm.

Therefore, the edge or the side of the cube is 11 cm.

Surface area of the cube is = 6a2 cm2

          = 6 * (11)2 cm2 [In this formula, one edge or side can be multiplied by six as the side or the edges are same in length. Therefore, the area of the surface of a cube is six times of one edge of the square. ]

= 6 * 11* 11 cm2

= 726 cm2

Here in the question, the edge is mentioned, which is 11 cm. therefore, the surface area of the cube will be 726 cm2 in length.

For determining the area of the surface of a cube, it is need to be calculated the area of any one side or the edge of the square. Then it is need to be multiplied by 6 as the cube consists of 6 sides or 6 edges. This is similar as solving the surface area by using the formula that is SA = 6s2. If it is given the length of the surface area of the cube, it can be determined the length of the edge or the length of the side of a cube by working backwards. The surface area of the cube needs to be taken and it is needed to work back. The surface area needs to be divided by 6 and then it is required to take the square root of the area of the cube.

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