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.

What shape is the curved surface of a cylinder?

• Circle

• Triangle

• Rectangle

• Trapezium

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

• 
• 
• 
• 

The base of a cylinder is always a ________.

Find the area of the cross section shown

• $5\pi$

• $25\pi$

• 5

• $125\pi$

A two-dimensional cross section is taken of a three-dimensional object. If this cross section is a triangle, what can not be the three-dimensional object?

• 
• 
• 
• 

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

• A

• B

• C

• D

What 2D shape is created by the perpendicular (vertical) cross section of this cylinder?

• rectangle

• oval

• circle

• trapezoid

Identify the area of the cross section shown

• 7

• 16

• 12

• 8