$12\mathrm{.}1$ Solids Introduction In this project we will create a class named Solid that will act as an abstract interface class. Classes Cuboid, cylinder, and Sphere will inherit from solid and polymorph functions for surface area and volume based on their own individual geometry. Please refer to the UML diagram below for the design: Solid $-$ solidType: string $+$ Solid$(\_$solidType : string$)$ getVolume$()=0$: double $+$ gerSurfaceArea $=0$: double $+$ getType$()$: string A Cuboid $-$ width: double length : double $-$height: double Cylinder $-$height: double radius: double PI: const double Sphere $-$radius: double $-$ PI: const double $+$ Cuboid$($w$.$double, I double, h double$)+$ getVolume: double $+$ getSurfaceArea$()$: double $+$ Cylinder$$h: double, r: double$)+$ getVolume: double $+$ getsurfaceArea$()$: double $+$Spherer: double$)$ getVolume: double $+$getsurfaceArea$()$: double $$ Composition $($is made up of$...)$ Aggregation $($contains $1$ or more of$..)$ Inherits from abstract class... Inherits from... Dependency $($Has a$...)$ Association $($Uses a$...)$ Solid $$ solidType will store text for what kind of solid it is $$ getVolume and getSurfaceArea are pure virtual $$ The constructor initializes solidType getType returns the string for the solid type Cuboid Inherit from Solid Override getVolume and getSurfaceArea to implement these formulas for a cuboid $$ The constructor initializes the parent class with "Cuboid" and length, width and height with the given arguments Cylinder $$ Inherit from Solid $$ Assign $3.14159265359$ to PI $$ Override getVolume and getSurfaceArea to implement these formulas for a cylinder $$ The constructor initializes the parent class with "Cylinder" and height and radius with the given arguments Sphere $$ Inherit from Solid $$ Assign $3.14159265359$ to PI $$ Override getVolume and getSurfaceArea to implement these formulas for a sphere $$ The constructor initializes the parent class with "Sphere" and radius with the given argument main Construct heap pointers to the following objects: o A Cube with $(2,2,2)$ A Cube with $(3,4,5)$ A Cylinder with $(3,2)$ A Sphere with $\{4\}$ Construct a vector of Solid$*$ initialized with the four object pointers above. Loop through the vector and output the solid type, volume, and surface area for each object. Sample Output Solid type: Cuboid Volume: $8\mathrm{.}0000$ Surface Area: $24\mathrm{.}0000$ Solid type: Cuboid Volume: $60\mathrm{.}0000$ Surface Area: $94\mathrm{.}0000$ Solid type: Cylinder Volume: $37\mathrm{.}6991$ Surface Area: $62\mathrm{.}8319$ Solid type: Sphere Volume: $268\mathrm{.}0826$ Surface Area: $201\mathrm{.}0619$ main.cpp Solids.h Drag file here Solids.cpp Drag file here or Choose on hard drive. Drag file here or Choose on hard drive. or Choose on hard drive.