find the volume of the right rectangular prism packed with cubes each Cube has an edge length of 1/3 inch.

Answer 1

To find the volume of the right rectangular prism packed with cubes, we first need to find the dimensions of the prism.

Since each cube has an edge length of 1/3 inch, the dimensions of the prism will also be in terms of 1/3 inch.

Let the dimensions of the prism be a x b x c, where a, b, and c are in terms of 1/3 inch.

Since the cubes are packed without any gaps, the dimensions of the prism will be multiples of the edge length of a cube. Therefore, a = 3x, b = 3y, and c = 3z, where x, y, and z are integers.

The volume of the right rectangular prism is given by V = a * b * c = 3x * 3y * 3z = 27xyz cubic inches.

Therefore, the volume of the right rectangular prism packed with cubes each having an edge length of 1/3 inch is 27xyz cubic inches, where x, y, and z are integers.