Respuesta :
Answer:
The area of one side of the tank is [tex]25ft^{2}[/tex]
Step-by-step explanation:
A cube is a regular Polyhedron limited by six equal squares. It is also known as the regular hexahedron, or simply hexahedron.
The cube is a ortohedron, that is, it has its six faces straight and perpendicular to each other. In addition to being their rectangle faces, they are also square.
It has the following properties:
*Number of faces: 6
*Number of vertices: 6
*Number of edges: 12
*Number of edges from one vertex: 3
Being the length of the edge of the cube, then its Volume (V) is expressed by the formula: [tex]v=a^{3}[/tex] Being a the length of the edge of the cube
A fish tank is the shape of a cube. Its volume is [tex]125ft^{3}[/tex], to calculate the are of one side of the tank, we know that each faces has the form of a square of area [tex]a^{2}[/tex].
To calculate the value of a.
[tex]a=\sqrt[3]{125ft^{3} } =5ft[/tex]
Then the area of square is [tex]a^{2}[/tex]
Substituting the value of a
[tex](5ft)^{2} =25ft^{2}[/tex]