7. Given a cube ABCD.EFGH with side length 4. The points K, L, M, and N are the midpoints of the edges EF, GH, CD, and AB, respectively. If the planes KLMN and AFH intersect on the line segment PQ, then the ratio of the area of the plane APQH to the surface area of the cube is.

7. Given a cube ABCD.EFGH with side length 4. The points K, L, M, and N are the midpoints of the edges EF, GH, CD, and AB, respectively. If the planes KLMN and AFH intersect on the line segment PQ, then the ratio of the area of the plane APQH to the surface area of the cube is.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

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Question

7. Please solve with the full step and explanation thank u

7. Given a cube ABCD.EFGH with side length 4. The points K, L, M,
and N are the midpoints of the edges EF, GH, CD, and AB,
respectively. If the planes KLMN and AFH intersect on the line
segment PQ, then the ratio of the area of the plane APQH to the surface
area of the cube is...
A. V3 : 16
B. V3 : 24
C. V3 : 48
D, v6 : 16
E. V6 : 24

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