Consider a block of wood in the shape of a cube, 3 feet on an edge. It is desired to cut the cube into 27 smaller cubes, 1 foot on an edge. One way to do this is to make 6 cuts, 2 in each direction, while keeping the cube in one block. Is it possible to use fewer cuts if the pieces can be rearranged between cuts?
Consider a block of wood in the shape of a cube, 3 feet on an edge. It is desired to cut the cube into 27 smaller cubes, 1 foot on an edge. One way to do this is to make 6 cuts, 2 in each direction, while keeping the cube in one block. Is it possible to use fewer cuts if the pieces can be rearranged between cuts?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section: Chapter Questions
Problem 40CLR
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Transcribed Image Text:Consider a block of wood in the shape of a cube, 3 feet on an edge. It is desired to cut the cube
into 27 smaller cubes, 1 foot on an edge. One way to do this is to make 6 cuts, 2 in each
direction, while keeping the cube in one block. Is it possible to use fewer cuts if the pieces can be
rearranged between cuts?
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