Question

Find the total surface area of the cube having the side 5.5 cm.

Answer 1

Hint: Area can be defined as the space occupied by a flat shape or the surface of an object. In this problem, we use the defined formula for the total surface area of the cube. So, using this definition we can easily solve our problem.

Complete step-by-step answer:
One of the most important branches of mathematics is geometry. It includes the analysis of figures using simple theorems and results. The surface area of a solid object is a measure of the total area that the surface of the object occupies. The total surface area of the cube is the sum of areas of six square surfaces. So, to define the total surface the side length of the cube must be known.
According to the problem, we are given a cube of side length 5.5 cm. Now, to evaluate the total surface area of the cube we use the formula, $T.S.A=6{{a}^{2}}$ where a is the side dimension.
So, the total surface area of the cube is:
$\begin{align}
  & T.S.A=6\times {{(5.5)}^{2}} \\
 & =6\times 30.25 \\
 & =181.5c{{m}^{2}} \\
\end{align}$
Therefore, the total surface area of the cube is 181.5 $cm^2$.

Note: The key step for solving this problem is the knowledge of the total surface area of the cube which is the sum of areas of six square surfaces. By using this definition, we formulate the total surface area of the cone. After putting values in the formula, the total surface area of the cone is evaluated correctly.