## does_it_fit
### Instructions
Using the `areas_volumes` module provided, create two **functions** :
- `area_fit` which receives 6 arguments and returns a boolean:
- `x` and `y` , length and width of the Rectangle in which it is going to be tried to fit the geometrical shapes (both usize)
- `objects` , the type of geometrical shape(s) which are going to be tried to be fitted in the square (areas_volumes::GeometricalShapes)
- `times` , the number of geometrical shapes which are going to be tried to be fitted in the square (usize)
- `a` and `b` , the dimensions which the plane(s) shape(s) passed will have (both usize)
- `a` will refer to the side of the Square, the radius of the Circle, the side_a of the Rectangle or the base of the Triangle
- `b` will refer to the side_b of the Rectangle or the height of the Triangle
- `area_fit` should return `true` if the geometrical shape(s) fit inside of the square.
- `volume_fit` which receives 8 arguments and returns a boolean:
- `x` , `y` and `z` , length, width and depth of the box in which it is going to be tried to fit the geometrical volumes (both usize)
- `objects` , the type of geometrical volume(s) which are going to be tried to be fitted in the box (areas_volumes::GeometricalVolumes)
- `times` , the number of geometrical volumes which are going to be tried to be fitted in the box (usize)
- `a` , `b` and `c` , the dimensions which the geometrical volume(s) passed will have (all of them usize)
- `a` will refer to the side of the Cube, the radius of the Sphere, the side_a of the Parallelepiped, the area of the base of the Triangular Pyramid or the base radius of the Cone
- `b` will refer to the side_b of the Parallelepiped, the height of the Triangular Pyramid or the height of the Cone
- `c` will refer to the side_c of the Parallelepiped
- `volume_fit` should return `true` if the geometrical volume(s) fit inside of the box.
### Expected Functions
```rs
pub fn area_fit(
x: usize,
y: usize,
objects: areas_volumes::GeometricalShapes,
times: usize,
a: usize,
b: usize,
) -> bool {
}
pub fn volume_fit(
x: usize,
y: usize,
z: usize,
objects: areas_volumes::GeometricalVolumes,
times: usize,
a: usize,
b: usize,
c: usize,
) -> bool {
}
```
### areas_volumes.rs
```rust
pub enum GeometricalShapes {
Square,
Circle,
Rectangle,
Triangle,
}
pub enum GeometricalVolumes {
Cube,
Sphere,
Cone,
Pyramid,
Parallelepiped,
}
pub fn square_area(side: usize) -> usize {
side.pow(2)
}
pub fn triangle_area(base: usize, height: usize) -> f64 {
(base as f64 * height as f64) / 2.0
}
pub fn circle_area(radius: usize) -> f64 {
std::f64::consts::PI * (radius.pow(2) as f64)
}
pub fn rectangle_area(side_a: usize, side_b: usize) -> usize {
side_a * side_b
}
pub fn cube_volume(side: usize) -> usize {
side.pow(3)
}
pub fn sphere_volume(radius: usize) -> f64 {
(4.0 / 3.0) * std::f64::consts::PI * (radius.pow(3) as f64)
}
pub fn triangular_pyramid_volume(base_area: f64, height: usize) -> f64 {
(base_area * height as f64) / 3.0
}
pub fn parallelepiped_volume(side_a: usize, side_b: usize, side_c: usize) -> usize {
side_a * side_b * side_c
}
pub fn cone_volume(base_radius: usize, height: usize) -> f64 {
(1.0 / 3.0) * std::f64::consts::PI * base_radius.pow(2) as f64 * height as f64
}
```
### Usage
Here is a program to test your function:
```rust
use does_it_fit::*;
fn main() {
println!(
"Do 100 rectangles (2x1) fit in a 2 by 4 square? {}",
area_fit(2, 4, GeometricalShapes::Rectangle, 100, 2, 1)
);
println!(
"Do 3 triangles (5 base and 3 height) fit in a 5 by 5 square? {}",
area_fit(5, 5, GeometricalShapes::Triangle, 3, 5, 3)
);
println!(
"Do 3 spheres (2 radius) fit in a 5 by 5 by 5 box? {}",
volume_fit(5, 5, 5, GeometricalVolumes::Sphere, 3, 2, 0, 0)
);
println!(
"Does 1 parallelepiped (6 base, 7 height and depth 4) fit in a 5 by 7 by 5 parallelepiped? {}",
volume_fit(5, 7, 5, GeometricalVolumes::Parallelepiped, 1, 6, 7, 4)
);
}
```
And its output:
```sh
$ cargo run
Do 100 rectangles (2x1) fit in a 2 by 4 square? false
Do 3 triangles (5 base and 3 height) fit in a 5 by 5 square? true
Do 3 spheres (2 radius) fit in a 5 by 5 by 5 box? true
Does 1 parallelepiped (6 base, 7 height and depth 4) fit in a 5 by 7 by 5 parallelepiped? true
$
```
