Question

A fish tank is the shape of a cube. It’s volume is 125ft. What is the area of one side of the tank

Answer 1

25 feet squared

Explanation:

Answer 2

The area of one side of the tank is
`25ft^(2)`

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:
`v=a^(3)` Being a the length of the edge of the cube

A fish tank is the shape of a cube. Its volume is
`125ft^(3)`, to calculate the are of one side of the tank, we know that each faces has the form of a square of area
`a^(2)`.

To calculate the value of a.

`a=\sqrt[3]{125ft^(3) } =5ft`

Then the area of square is
`a^(2)`

Substituting the value of a

`(5ft)^(2) =25ft^(2)`