Homework Practice

Printable assignment

Exploring Some Geometric Themes: Practice 1

Section A: Core Practice

Question 1mcq

How many faces, edges, and vertices does a triangular prism have?

8

faces,

6

edges,

12

vertices

6

faces,

9

edges,

5

vertices

4

faces,

4

edges,

4

vertices

5

faces,

9

edges,

6

vertices

Question 2mcq

How many faces, edges, and vertices does a square pyramid have?

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

5

faces,

8

edges,

5

vertices

4

faces,

4

edges,

4

vertices

Question 3mcq

Which statement about a valid net of a cube is correct?

A.It can have any five squares.

B.A cube net must have six connected squares arranged so they fold without overlap.

C.Its squares may overlap after folding.

D.It must include circles for the corners.

Question 4mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.Only the front view matters.

C.A 3D object cannot have 2D views.

D.All three views must always be identical.

Question 5mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.All three views must always be identical.

B.Top, front, and side views can be different for the same solid.

C.Only the front view matters.

D.A 3D object cannot have 2D views.

Question 6mcq

Which is Euler's formula for a convex polyhedron?

E+V=F+2

F+V=E

F+E=V+2

F+V=E+2

Section B: Reasoning and Application

Question 7mcq

Can a convex polyhedron have

6

faces,

8

vertices, and

12

edges?

A.No, because faces must equal edges.

B.Yes, because all three numbers are positive.

C.Cannot be checked using a formula.

D.Yes, it satisfies Euler's formula.

Question 8mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Ignore turns and count only shapes.

B.Break the path into simpler straight parts and track direction changes.

C.Use a random line through the figure.

D.Estimate by looking only at the endpoint.

Question 9mcq

How many faces, edges, and vertices does a triangular prism have?

5

faces,

9

edges,

6

vertices

8

faces,

6

edges,

12

vertices

6

faces,

9

edges,

5

vertices

4

faces,

4

edges,

4

vertices

Question 10mcq

How many faces, edges, and vertices does a square pyramid have?

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

5

faces,

8

edges,

5

vertices

4

faces,

4

edges,

4

vertices

Question 11mcq

Which statement about a valid net of a cube is correct?

A.It must include circles for the corners.

B.A cube net must have six connected squares arranged so they fold without overlap.

C.It can have any five squares.

D.Its squares may overlap after folding.

Question 12mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Only the front view matters.

B.All three views must always be identical.

C.Top, front, and side views can be different for the same solid.

D.A 3D object cannot have 2D views.