# Lesson Worksheet: Three-Dimensional Figures Mathematics

In this worksheet, we will practice identifying 3D shapes and their properties.

Q1:

Consider the following figure. Write another name for the plane .

• APlane
• BPlane
• CPlane
• DPlane
• EPlane

How many planes are shown in the figure?

Which two planes intersect in ?

• APlane and plane
• BPlane and plane
• CPlane and plane
• DPlane and plane
• EPlane and plane

Are planes and parallel or intersecting?

• BThey are intersecting.
• CThey are parallel.

Q2:

Which of the following is the plan of the given shape? • A • B • C • D • E Q3:

Find the straight lines that pass through the point . • A
• B
• C
• D

Q4:

Consider the cuboid , where . What can be said about and ?

• AThey are parallel.
• BThey are neither parallel nor perpendicular.
• CThey are skew.
• DThey are perpendicular.

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are skew.
• CThey are parallel.
• DThey are perpendicular.

What can be said about and ?

• AThey are neither parallel nor perpendicular.
• BThey are parallel.
• CThey are skew.
• DThey are perpendicular.

What can be said about and ?

• AThey are parallel.
• BThey are skew.
• CThey are perpendicular.
• DThey are neither parallel nor perpendicular.

Q5:

Using the rectangular prism below, decide which of the following is skew to . • A
• B
• C
• D
• E

Q6:

What is the intersection of planes , , and ? • A
• B
• C
• D

Q7:

How many vertices does a rectangular prism have?

Q8:

How many faces does a rectangular prism have?

Q9:

How many edges does a rectangular prism have?

Q10:

Consider the following figure. How many edges does this shape have?

How many vertices does it have?

How many faces does it have?