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A betta fish tank is in shape of a cube. The volume of the fish tank is 216 cubic inches. What is the edge length, in inches, of the fish tank?

Sagot :

CintiaSalazar

Considering the definition of volume and volume of a cube, the edge length of the fish tank is 6 inches.

Definition of volume

All matter occupies a space that can vary depending on its size. This space can be defined by volume, which is defined as the extension of an object in its three dimensions. That is, the volume corresponds to the measure of the space that a body occupies.

Volume of a cube

The cube is a polyhedron or three-dimensional geometric figure, with six equal sides, each of which is a regular polygon, that is, a square. In other words, a cube is a body made up of six faces that are square.

The volume of a cube is equal to the measure of its side to the cube:

Volume = side x side x side = side³

Edge length of the fish tank

In this case, you know that:

  • The volume of the fish tank is 216 cubic inches.
  • The fish tank is in shape of a cube.

Replacing in the definition of volume of a cube:

216 cubic inches = side³

Solving:

∛216 cubic inches= side

6 inches= side

Finally, the edge length of the fish tank is 6 inches.

Learn more about volume:

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