# 3-D Geometric Shapes

Constructing 3-dimensional models adds reality to math lessons.

**OBJECTIVE**

- Students construct a variety of 3- dimensional geometric paper shapes.
- Students analyze the characteristics and properties of the paper models.
- Students estimate and compare the volumes of the geometric shapes.

**NATIONAL STANDARDS**

Math

- Understands and applies basic and advanced properties of the concepts of measurement;
- Understands and applies basic and advanced properties of the concepts of geometry.

**MATERIALS**

**Ellison Equipment Required **

XL Ellison LetterMachine

Original Ellison LetterMachine

Ellison Prestige Pro

Ellison Prestige SpaceSaver

Ellison RollModel Machine

Ellison Prestige Select

**Ellison Dies Used **

Ellison SureCut Die - Cone 3-D

Ellison SureCut Die - Cube 3-D

Ellison SureCut Die - Cylinder 3-D

Ellison SureCut Die - Prism 3-D

Ellison SureCut Die - Pyramid 3-D #1, Square Base

Ellison SureCut Die - Pyramid 3-D #2, Triangle Base

Ellison SureCut Die - Rectangle 3-D

Materials and Tools Used

Construction Paper, 9" x 12" - 50 Pack

Cardstock

Double-Sided Tape

Glue

Rice

Sand

Measuring cups

**SET UP AND PREPARE**

As students create 3-dimensional paper shapes (cube, cone, cylinder, pyramid and hexagonal prism) they can identify them first by visual recognition and then by properties. Students can estimate volumes and compare by filling shapes with sand or rice. Any 3-dimensional die may be used to create this project.

DEFINITIONS

Cone – a solid, pointed object that has a flat, round base. (Think ice cream cone)

Cube - consists of six square faces, eight vertices and twelve edges equal in length.

Cylinder – an object that is shaped like an oatmeal container or soup can.

Polygon – a geometric shape made up of vertices that are connected with line segments.

Hexagon – a six sided polygon. In a regular hexagon, the sides and angles are the same (congruent).

Pyramid – a pyramid is formed when triangles are put on a polygon (square) base. These triangles meet at a single vertex above the base.

Prism – a polyhedron that is formed with two parallel polygons (top & bottom bases) that are connected at the edges with rectangles.

Vertex (plural vertices) – on a polygon, the vertices are the corners.

Volume – the amount of space inside something

**DIRECTIONS**

1. Die-cut shape from construction paper or cardstock. Paper may be laminated prior to cutting for durability (Figures A and B).

2. Fold along perforated lines.

3. Adhere tabs with glue or double-sided tape (Figures C and D).

4. Students can fill the shape with rice or sand to estimate and understand volume.