# 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?

- AIt cannot be determined without more information.
- 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?