Question

What is the volume of a cube whose side length is 6 cm?

Answer 1

Hint: Here, we have to use the concept and formula of volume for cube. Volume is the amount of space occupied by an object in three-dimensional space. So, by simply using the formula of the volume we will be able to find out the volume of the cube with side length 6 cm.
Formula used:
 We will use the formula of the volume of the cube\[ = {\rm{sid}}{{\rm{e}}^3}\].

Complete step-by-step answer:
A Cube is the three dimensional object with six flat surfaces which has length of all the edges or sides equal to each other.
It is given that the side of the cube is 6 cm which means all the edges of the cube are of 6 cm length.

We know that volume of the cube is equal to space acquired by the cube in the three-dimensional space which is equal to the \[{\rm{sid}}{{\rm{e}}^3}\]
Therefore, Volume of the cube\[ = {\rm{sid}}{{\rm{e}}^3}\]
\[ \Rightarrow \] volume of the cube \[ = {6^3} = 216{\rm{c}}{{\rm{m}}^3}\]
It is important to write the unit i.e. \[{\rm{c}}{{\rm{m}}^3}\] after the value of the volume.
Hence, the volume of the cube with side length 6 cm is \[216{\rm{c}}{{\rm{m}}^3}\].

Note: Surface area of an object or shape is the sum of all the area of the faces of an object or shape and surface area is generally measured in square units. Volume is generally measured in cubic units.
A Cube is the shape with six flat surfaces, eight vertices or corners and twelve edges. Length of all these edges is equal to each other. Angles made by the two consecutive sides and the edges or sides are \[90^\circ \]. The Cube is the most symmetric in all hexahedron shape objects.
Surface area of the cube\[ = 6 \times {\rm{sid}}{{\rm{e}}^2}\]
Volume of the cube\[ = {\rm{sid}}{{\rm{e}}^3}\]
It is compulsory to write the units after the calculated values while solving a problem, it plays an important role.