10.1.3 Formulas in Three Dimensions − Worksheet
Example 1: Find the number of vertices, edges, and faces of each polyhedron. Use your results to verify Euler’s formula. 1. 2. 3.
Example 2: Find the unknown dimension in each figure. Round to the nearest tenth, it necessary. 4. the length of the diagonal of a 4 ft by 8 ft by 12 ft rectangular prism
5. the height of a rectangular prism with a 6 in. by 10 in. base and a 13 in. diagonal
6. the length of the diagonal of a square prism with a base edge length of 12 in. and a height of 1 in.
Example 3: Graph each figure. 7. a cone with radius 8 units, height 4 units, and the base centered at (0, 0, 0)
8. a cylinder with radius 3 units, height 4 units, and one base centered at (0, 0, 0)
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