Question

Find the volume of a cube whose edge is 3.5 meters.

Answer 1

Hint: Before solving this question, we must know what volume is.
So, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Every 3-dimensional shape has a different formula to find their volume.
The formula of volume of a cube is \[{{a}^{3}}\] . Here, ‘a’ happens to be the length of one edge of a cube. So, the volume of a cube is \[={{\left( side \right)}^{3}}\] .

Complete step-by-step answer:

Length of edge of the cube = 3.5 meters
Volume of a cube = \[{{a}^{3}}\]
= \[{{\left( 3.5 \right)}^{3}}\]
= 42.875 meters

Note: The student should know the formulas of different parameters of the basic 3-dimensional shapes such as cuboid, cube, cone, cylinder, etc. because they can come in handy. Here are the formulas for the volume of a few of the 3D shapes:
CUBE \[={{\left( side \right)}^{3}}\] , where ‘a’ is the length of one edge of a cube.
CUBOID \[=length\times breadth\times height\] , where ‘length’ is the length of the cuboid, ‘breadth’ is the breadth of the cuboid, and ‘height’ is the height of the cuboid.
CONE \[=\dfrac{1}{3}\pi {{r}^{2}}h\] , where ‘r’ is the radius of the base of the cone and ‘h’ is the height of the cone.
CYLINDER \[=\pi {{r}^{2}}h\] , where ‘r’ is the radius of its base and 'h' is the height of the cylinder.
SPHERE \[=\dfrac{4}{3}\pi {{r}^{3}}\] , where ‘r’ is the radius of the sphere.