Question

1. practice: making mental images

describe two ways to construct a cylinder.

1. grow the cylinder from its ____________

stack ____________ discs.

1. enclose the cylinder with its bases and lateral face.

bases: 2 ____________ discs
lateral face: 1 rectangle rolled around the ____________

1. practice: organizing information

complete the definition and labels. write altitude, base, or vertex in each blank.
a cone is a solid made from one circular __________, a __________ not in the same plane, and all the points between them.

1. practice: activating prior knowledge and making mental images

what are three real - world examples of cones?

1. ____________
2. ____________
3. ____________
4. practice: activating prior knowledge and organizing information

fill in the blanks in the venn diagram.
pyramid
polyhedron
base is
both
solids
have 1 base with 1 opposite ____________
cone
not a ____________
base is

Explanation:

Step1: Construct cylinder from discs

A cylinder can be thought of as being grown from its base. Stacking congruent (identical - sized) discs on top of each other forms a cylinder.

Step2: Enclose cylinder with faces

The bases of a cylinder are 2 congruent discs. The lateral face is a rectangle rolled around the circumference of the bases.

Step3: Define cone

A cone is a solid made from one circular base, a vertex not in the same plane, and all the points between them.

Step4: Real - world cones

Real - world examples of cones include ice - cream cones, traffic cones, and party hats.

Step5: Venn diagram for pyramid and cone

For the Venn diagram: A pyramid is a polyhedron and its base is a polygon. Both a pyramid and a cone are solids, have 1 base with 1 opposite vertex. A cone is not a polyhedron and its base is a circle.

Answer:

1. 1. base; congruent
2. congruent; circumference of the bases
3. base; vertex
4. 1. Ice - cream cone
5. Traffic cone
6. Party hat
7. Pyramid: Polyhedron; Base is a polygon

Both: Have 1 base with 1 opposite vertex
Cone: Not a polyhedron; Base is a circle