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Grade 10 Cross Sections Worksheet

Explore cross sections of various 3D shapes with this Grade 10 math worksheet, covering different cuts and resulting 2D figures.

Grade 10 Math GeometryCross Sections
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Multiple ChoiceFill in the BlanksShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4

Topics

MathGeometryCross SectionsGrade 10
6 sections · Free to use · Printable
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Cross Sections of 3D Shapes

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Read each question carefully and provide the best answer. For questions involving diagrams, visualize or sketch the cross section described.

1. What 2D shape is formed when a cube is cut by a plane parallel to one of its faces?

a

Triangle

b

Square

c

Circle

d

Rectangle

2. A cylinder is cut by a plane perpendicular to its base but not passing through the center. What is the shape of the cross section?

a

Circle

b

Rectangle

c

Ellipse

d

Triangle

3. When a sphere is cut by any plane, the cross section formed is always a  .

4. A pyramid with a square base is cut by a plane parallel to its base. The cross section will be a  .

5. Describe the shape of the cross section obtained when a cone is cut by a plane that is parallel to its base.

6. Imagine a rectangular prism. What is the maximum number of sides a polygon formed by a single cross section can have?

7. For the cube shown below, sketch the cross section formed by a plane passing through vertices A, B, and C.

ABDC

8. A cylinder has a height of 10 cm and a radius of 3 cm. If a plane cuts the cylinder parallel to its base, what is the area of the cross section?

h=10cmr=3cm