BMAD Posted March 2, 2015 Report Share Posted March 2, 2015 Suppose you have a rectangle with dimensions 2x2x4. Making 1 slice, what 2-d shapes can be formed at the site of the cut? What if you make 2 cuts? Quote Link to comment Share on other sites More sharing options...
0 k-man Posted March 2, 2015 Report Share Posted March 2, 2015 Assuming you meant a rectangular solid... You can get a variety of polygons - triangles, quadrilaterals (including rectangles, squares and trapezoids), pentagons and hexagons. Making a second cut can't increase the number of sides in the cross-section, so the answer is generally the same. You can increase the variety of the polygons - i.e. with 2 cuts you can get a quadrilateral or a pentagon that you cannot get with a single cut. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted March 2, 2015 Author Report Share Posted March 2, 2015 Assuming you meant a rectangular solid... You can get a variety of polygons - triangles, quadrilaterals (including rectangles, squares and trapezoids), pentagons and hexagons. Making a second cut can't increase the number of sides in the cross-section, so the answer is generally the same. You can increase the variety of the polygons - i.e. with 2 cuts you can get a quadrilateral or a pentagon that you cannot get with a single cut. i am unsure by what you mean in your second answer. Quote Link to comment Share on other sites More sharing options...
0 k-man Posted March 2, 2015 Report Share Posted March 2, 2015 Assuming you meant a rectangular solid... You can get a variety of polygons - triangles, quadrilaterals (including rectangles, squares and trapezoids), pentagons and hexagons. Making a second cut can't increase the number of sides in the cross-section, so the answer is generally the same. You can increase the variety of the polygons - i.e. with 2 cuts you can get a quadrilateral or a pentagon that you cannot get with a single cut. i am unsure by what you mean in your second answer. I interpreted your second question as "What 2-d shapes can be formed at the site of a second cut"? You can get all the shapes you can get from a single cut plus more variations of these shapes. For example, with a single cut you cannot get an obtuse triangle. With a second cut you can. Same goes for quadrilaterals, pentagons and hexagons. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted March 2, 2015 Author Report Share Posted March 2, 2015 ah, i understand. nice job. Quote Link to comment Share on other sites More sharing options...
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BMAD
Suppose you have a rectangle with dimensions 2x2x4. Making 1 slice, what 2-d shapes can be formed at the site of the cut?
What if you make 2 cuts?
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