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]

Answer:

25 feet squared

Step-by-step explanation: