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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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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