Please answer number 14. 9. The plane section ABCD shown in the figure is cut from a cube of edge a.Find the area of this section if D and C are eachat the midpoint of an edge.10. Find the area of a triangle whose vertexis at the midpoint of an upper edge of a cube Aof edge a and whose base coincides with thediagonally opposite edge of the cube.11. If a cube has an edge equal to the diag-onal of another cube, find the ratio of theirvolumes.12. One cube has a face equivalent to thetotal area of another cube. Find the ratio oftheir volumes.aa13. Pass a plane through a cube so that the section formed will be a regularhexagon. If the edge of the cube is 2 units, find the area of this section.*14. In Prob. 9 find the angle which the section ABCD makes with the lowerbase of the cube.

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Answered: *14. In Prob. 9 find the angle which…

Engineering

Mechanical Engineering

*14. In Prob. 9 find the angle which the section ABCD makes with the lower base of the cube.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Question

Please answer number 14.

9. The plane section ABCD shown in the figure is cut from a cube of edge a.
Find the area of this section if D and C are each
at the midpoint of an edge.
10. Find the area of a triangle whose vertex
is at the midpoint of an upper edge of a cube A
of edge a and whose base coincides with the
diagonally opposite edge of the cube.
11. If a cube has an edge equal to the diag-
onal of another cube, find the ratio of their
volumes.
12. One cube has a face equivalent to the
total area of another cube. Find the ratio of
their volumes.
a
a
13. Pass a plane through a cube so that the section formed will be a regular
hexagon. If the edge of the cube is 2 units, find the area of this section.
*14. In Prob. 9 find the angle which the section ABCD makes with the lower
base of the cube.

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