Reasoning with three-dimensional shapes and their attributes

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

• Circle
• Triangle
• Rectangle
• Ellipse

Tags

CCSS.7.G.A.3

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.

Tags

CCSS.7.G.A.3

What shape is the curved surface of a cylinder?

• Circle

• Triangle

• Rectangle

• Trapezium

Tags

CCSS.6.G.A.4

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

• 
• 
• 
• 

Tags

CCSS.7.G.A.3

The base of a cylinder is always a ________.

Tags

CCSS.7.G.A.3

Find the area of the cross section shown

• $5\pi$

• $25\pi$

• 5

• $125\pi$

Tags

CCSS.7.G.A.3

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?

• 
• 
• 
• 

Tags

CCSS.7.G.A.3

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

• A

• B

• C

• D

Tags

CCSS.7.G.A.3

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

• rectangle

• oval

• circle

• trapezoid

Tags

CCSS.7.G.A.3

Identify the area of the cross section shown

• 7

• 16

• 12

• 8

Tags

CCSS.7.G.A.3