Introduce volume relationships between solid shapes with this set of 14 solids. Use the View Thru Colourful Geometric shapes to estimate, measure and compare volumes in a small group or demonstration setting. Have students list, from least to greatest, the estimated volume of each solid. Students should check estimates by calculating the volume or filling each shape with water using a graduated cylinder and recording the results beside each listed shape.
Terminology of Solid Geometry
BASE face of a geometric shape; bases of the View-Thru Geometric Solids are blue
CYLINDER two congruent, parallel circular bases and a single curved, lateral face
EDGE intersection of two faces of a polyhedron where they meet at a line
FACE polygon surface of a polyhedron; shapes in this set are either flat or curved face
HEMISPHERE one half of any sphere
POLYHEDRON solid figure with a polygon face
PRISM polyhedron with two congruent, parallel bases and rectangles for the remaining faces; named for the shape of its bases
PYRAMID polyhedron with one base and triangles for the remaining faces;
SPHERE named for the shape of its bases the set of all points in space equidistant from a given point called the center
VERTEX intersection of three or more faces of a polyhedron where they meet at a point, or corner.
Working with the View Thru Colourful Geometric Solids
The set is ideal for measuring and comparing volume relationships between the various solid shapes. Set up the following materials at a geometry center in your classroom:
View-Thru Geometric Solids Materials:
1000 Milliliters of plastic fill
Set of 2 funnels
Chart of the 14 solids and their characteristics
Paper and pencil/pen
Have students estimate the volume of each of the 14 View-Thru Geometric Solids by listing them on a sheet of paper from largest volume to smallest volume. Volume is expressed in cubic units of measurement: inches, feet, yards, miles, milliliters, centimeters, decimeters, meters, kilometers,
etc. Using the funnel, fill the 1-liter graduated cylinder with plastic fill. Remove the base of the chosen solid and fill it with the plastic fill. Note the amount of fill required. Repeat two or three times to ensure accuracy. Repeat the process with all of the shapes.