perplexus.info :: Shapes : Cube Count Calculation

Cube Count Calculation (Posted on 2016-07-13)

A rectangular cuboid has edges of lengths x, y and z. It is divided into x*y*z cubes each having dimension 1x1x1 by planes parallel to its faces.

A diagonal joins a vertex of the cuboid to the vertex furthest away from it.

Determine the total number of cubes that this diagonal intersects.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The total number of cubes that this diagonal intersects is 16
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	solution	Charlie	2016-07-13 12:55:10

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