An Oblique Cut through a Square Column

Geometry Level 4

An infinite column is centered along the \(z\)-axis. It has a square cross section of side length equal to 10. It is cut by the plane \(4x - 7y + 4z = 25.\). What is the area of the surface cut?

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An Oblique Cut through a Square Column

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100 Day Summer Challenge

An Oblique Cut through a Square Column

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.