a right rectangular prism has an edge of 3 1/2 ft 2 and 1/4 feet and 4 1/3 ft. the cubes must have edge lengths that are unit fracitions. what is the greatest edge length of the cubes



Answer :

The greatest length of the cube as calculated is 1 / 12.

A right rectangular prism contains six rectangle-shaped faces, twelve edges, and eight vertices in three dimensions. The prism's faces are all rectangles. Each of the vertices produces a right angle, or 90 degrees.

Given that it is a solid geometric form, a right rectangular prism would be divided into cubes of each dimension.

Putting the prism's measurements in  1 / 4 inches,

3 / 2 = 7 / 2

2 / 4 = 9 / 4

4 / 3 = 13 / 3

All of the dimensions' denominators must be the same.

So,

3 / 2 = 7 / 2 = 42 / 12

2 / 4 = 9 / 4 = 21 / 12

4 / 3 = 13 / 3 = 52 / 12

Since 2, 4, and 3 have a common multiple of 12,

Therefore, the cube's edge length is  1 / 12

To learn more about rectangular prism

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