Reasoning with Three-Dimensional Shapes and Their Attributes

What shape will the vertical cross -section of a cylinder be?

• Circle

• Triangle

• Rectangle

• Ellipse

A rectangle with dimensions of 8 inches by 16 inches is shown.

When the rectangle is rotated about the dotted line, the resulting figure is a ​ (a)   with a height of ​ (b)   and a radius of ​​ (c)  

• Cylinder

• Square Pyramid

• 8 inches

• 4 inches

• 16 inches

• 32 inches

Answer explanation

When a rectangle is rotated about a line, it forms a cylinder. The height of the cylinder is equal to the width of the rectangle (8 inches), and the radius is equal to the length of the rectangle (16 inches). Therefore, the resulting figure is a Cylinder with a height of 8 inches and a radius of 16 inches.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

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Find the area of the cross section shown

• 5

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

• A

• B

• C

• D

Identify the area of the cross section shown

• 7

• 16

• 12

• 8

Select the 2D object that can be rotated to form the 3D object shown.

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A cross-section is cut from the cylinder shown. What cross-section is created?

• Rectangle

• Circle

• Semi-circle

• Oval

What 3D figure is formed by rotating a square around the y-axis?

• Sphere

• Cylinder

• Cone

• Pyramid

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

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