4. A cube of side 35 mm is kept on HP with base edges equally inclined to VP. It is cut by a plane perpendicular to VP and inclined to HP in such a way that the true shape of the section is a regular hexagon of maximum size. Draw the front view, top view, and true shape of section. Also determine the inclination of the cutting plane with HP. Hint: After keeping the cube in desired position, Draw sectional top view such that the distances 1-6 and 3-4 are half the distance 2-5. 1,3,4,& 6 are mid points of edges (because in a hexagon, distance across corners is twice the length of edge of hexagon) Hint for Q3 Hint for Q4

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.43P
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4. A cube of side 35 mm is kept on HP with base edges equally inclined to VP. It is cut by a plane perpendicular to VP and inclined to HP
in such a way that the true shape of the section is a regular hexagon of maximum size. Draw the front view, top view, and true shape of
section. Also determine the inclination of the cutting plane with HP.
Hint After keeping the cube in desired position, Draw sectional top view such that the distances 1-6 and 3-4 are haif the distance 2-5.
1,3,4,& 6 are mid points of edges (because in a hexagon, distance across corners is twice the length of edge of hexagon)
5
Hint for Q3
Hint for Q4
Transcribed Image Text:4. A cube of side 35 mm is kept on HP with base edges equally inclined to VP. It is cut by a plane perpendicular to VP and inclined to HP in such a way that the true shape of the section is a regular hexagon of maximum size. Draw the front view, top view, and true shape of section. Also determine the inclination of the cutting plane with HP. Hint After keeping the cube in desired position, Draw sectional top view such that the distances 1-6 and 3-4 are haif the distance 2-5. 1,3,4,& 6 are mid points of edges (because in a hexagon, distance across corners is twice the length of edge of hexagon) 5 Hint for Q3 Hint for Q4
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