Cross Sections of Three-Dimensional Figures

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Cross Sections of Three-Dimensional Figures Return to table of contents

3-Dimensional figures can be cut by planes 3-Dimensional figures can be cut by planes. When you cut a 3-D figure by a plane, the result is a 2-D figure. The cross-sections of 3-D figures are 2 dimensional figures you are familiar with. Look at the example on the next page to help your understanding.

A horizontal cross-section of a cone is a circle. Can you describe a vertical cross-section of a cone?

A vertical cross-section of a cone is a triangle.

A water tower is built in the shape of a cylinder. How does the horizontal cross-section compare to the vertical cross-section?

The horizontal cross-section is a circle. The vertical cross-section is a rectangle

Which figure has the same horizontal and vertical cross-sections? 9 Which figure has the same horizontal and vertical cross-sections? A C B D Answer: C

Which figure does not have a triangle as one of its cross-sections? 10 B D Answer: C

Which is the vertical cross-section of the figure shown? 11 Which is the vertical cross-section of the figure shown? A Triangle B Circle C Square Answer: C D Trapezoid

Which is the horizontal cross-section of the figure shown? 12 Which is the horizontal cross-section of the figure shown? A Triangle B Circle C Square Answer: C D Trapezoid

Which is the vertical cross-section of the figure shown? 13 Which is the vertical cross-section of the figure shown? A Triangle B Circle C Square Answer: A D Trapezoid