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LER 0913 Mini GeoSolids
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LER 0921 Folding Geometric Shapes
LER 0922 Large Geometric Shapes
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LER 3208 ®
ACTIVITY GUIDE Ages
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2 Giant Geometric Shapes Volume Table 3 Square Prism V = A of base × H V = (s × s) × H V = (15 × 15) × 15 V = 3375 cm 3 Rectangular Prism V = A of base × H V = (l × w) × H V = (15 × 7.5) × 15 V = 1687.5 cm 3 Hexagonal Prism V = A of base × H V = (w × × s) × H V = (12.99 × × 7.5) × 15 V = 2192 cm 3 Triangular Prism V = A of base × H V = ( × b × h) × H V = × (15 × 12.99) × 15 V = 1461.4 cm 3 Square Pyramid V = A of base × H V = (l × w) × H V = (15 × 15) × 15 V = 1125 cm 3 Tria
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Introduction ® The transparent Giant GeoSolids set includes 10 plastic, three-dimensional shapes that allow for hands-on study of volume. These shapes can expand daily math lessons while introducing, teaching, and reviewing geometric concepts effectively. They allow students to make concrete connections between geometric shapes and their associated formulas for volume, as well as compare the volumetric relationship between each shape. Most shapes in this set are variations of a prism or a py
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features. Write students' answers on the board. Then, define pyramids and prisms. Hold up an example of a prism and a pyramid for the class. Encourage students to organize the shapes again based on this information. Discuss and explain the cylinder, sphere, and cone as exceptions. Geometric Number of Shape of Number of Number of Number of Shape Bases Base(s) Faces Edges Vertices Square Prism Rectangular Prism Hexagonal Prism Triangular Prism Square Pyramid Triangular Pyramid Sphere Hemisphere C
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room on the outside of a shape, and volume is the amount of space inside a shape. Discuss the importance of measuring volume, giving such examples as knowing how much water a pool will hold, how much air fills a SCUBA tank, or how much cement fits in a cement mixer. Ask students for other examples. Students will benefit from practice with building, measuring, and filling containers to understand volume. Each shape has openings in the base and can be filled with water, sand, rice, or other ma
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= (l × × w) × × H H S quare Prism Volume = A × × H square prism l = (w × × l) × × H w A = Area of the square base. H = Height of the prism. s = Length of the side. h b H Triangular Prism Volume = A × × H triangular prism = ( b × × h) × × H A = area of the triangle base ( b × × h) h = altitude, or height of the triangle. H = height of the prism. H Hexagonal Prism Volume = A × × H hexagonal prism = (w × × s) × × H A = Area of the hexagonal base. H = Height of the prism. Explain that
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_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 2 = (π r ) × × H Py ramid Introduce the general formula for finding the volume of a pyramid. Volume = A × × H pyramid Ask students to identify the difference between this general formula and the one for the prism. (There is one more variable: .) If students remember a volume formula for a prism, it is easy to remember the volume formula for a pyramid with the same-size base and H height: simply multiply by . You can d
