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AMC 8 2018 Problem 24 | American Mathematics Competitions

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.

AMC 8 2018 Problem 24

In the cube ABCDEFGH with opposite vertices C and E, J and I are the midpoints of edges \overline{FB} and \overline{HD}, respectively. Let R be the ratio of the area of the cross-section EJCI to the area of one of the faces of the cube. What is R^2?

AMC 8 2018 Problem 24

(A) \frac{5}{4} (B) \frac{4}{3} (C) \frac{3}{2} (D) \frac{25}{16}  (E)  \frac{9}{4}.

Solution:

Useful Resources

This is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.

AMC 8 2018 Problem 24

In the cube ABCDEFGH with opposite vertices C and E, J and I are the midpoints of edges \overline{FB} and \overline{HD}, respectively. Let R be the ratio of the area of the cross-section EJCI to the area of one of the faces of the cube. What is R^2?

AMC 8 2018 Problem 24

(A) \frac{5}{4} (B) \frac{4}{3} (C) \frac{3}{2} (D) \frac{25}{16}  (E)  \frac{9}{4}.

Solution:

Useful Resources

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