Question

The total length of the following cube is

A.24 cm
B.30 cm
C.32 cm
D.36 cm

Answer 1

Hint: A cube is a three dimensional figure whose all sides are equal and all of the faces are square. It is a solid object bounded by six square faces or the sides, with three meeting at each vertex.

Complete step-by-step answer:
The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.
The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.
The cube is dual to the octahedron. It has cubical or octahedral symmetry.
The cube is the only convex polyhedron whose faces are all squares.
The angles on a plane of a cube are right angles where each face of the cube meets four other faces. Each vertex of a cube meets three faces and three edges.
The total length of the cube refers to the sum of the edges of the cube, there are a total of 12 edges in a cube hence total length is the sum of length of each edge of the cube.
Side of the cube= 2 cm
Cube has 12 edges and 12 faces and all are equal

The total length of the side of a cube is given as
\[l = 6{a^2} = 6 \times {\left( 2 \right)^2} = 6 \times 4 = 24cm\]
Note: Alternatively, we can also solve it as:
Since all the sides are equal we can write the total length as and side length of side is given as 2 cm, hence we can write, \[L = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 24cm\]i.e., adding 2, 12 times.