?The Swiss mathematician Leonhard Euler (1707–1783) was the first to discover the

Draw an example of each solid. a. cylinder b. pentagonal prism c. cone d. rectangular pyramid

Compare and contrast each pair of solids. a. prism and pyramid b. cylinder and cone c. prism and cylinder d. pyramid and cone

Jasmine says the figure at the right is a tetrahedron. Mariam says it is a triangular pyramid. Who is correct? Explain.

Name the polygons that form the lateral faces of each polyhedron. triangular pyramid

Name the polygons that form the lateral faces of each polyhedron. cube

Name the polygons that form the lateral faces of each polyhedron. hexagonal prism

Name the polygons that form the lateral faces of each polyhedron. rectangular pyramid

Name the polygons that form the lateral faces of each polyhedron. pentagonal prism

Name the polygons that form the lateral faces of each polyhedron. tetrahedron

Name the faces, edges, and vertices of the polyhedron.

Describe the basic shape of each item as a solid figure.

Describe the basic shape of each item as a solid figure.

David Smith creates geometric sculptures. What geometric solids did Mr. Smith use for this sculpture?

Name the faces, edges, and vertices of each polyhedron.

Name the faces, edges, and vertices of each polyhedron.

Name the faces, edges, and vertices of each polyhedron.

Describe the basic shape of each item as a solid.

Describe the basic shape of each item as a solid.

Describe the basic shape of each item as a solid.

Describe the basic shape of each item as a solid.

Describe the basic shape of each item as a solid.

Describe the basic shape of each item as a solid.

Determine whether each statement is true or false for the solid. The figure is a pyramid.

Determine whether each statement is true or false for the solid. The figure is a polyhedron.

Determine whether each statement is true or false for the solid. Hexagon ABCDEF is a base.

Determine whether each statement is true or false for the solid. Hexagon GHIJKL is a lateral face.

Determine whether each statement is true or false for the solid. There are six lateral faces.

Determine whether each statement is true or false for the solid. The figure has 12 lateral edges.

Determine whether each statement is true or false for the solid. BHIC is a lateral face.

In baseball, the ball is in the strike zone if the following criteria are met. • It is over the home plate. (Home plate is a pentagon placed on the ground.) • It is between the top of the batter’s knees and the midpoint between the batter’s shoulders and the top of his pants. Describe the strike zone in terms of a geometric solid.

In 1902, the Flatiron Building, New York’s first skyscraper, was built. The base of the building is a polygon having three sides. Describe the basic shape of the building as a geometric solid.

An orthographic drawing shows the top, the front, and the right-side views of a solid figure. a. Use the orthographic drawing to sketch the solid it represents. b. Select a solid object in your home and draw the top, the front, and the right-side views.

The Swiss mathematician Leonhard Euler (1707–1783) was the first to discover the relationship among the number of vertices V, edges E, and faces F of a polyhedron. a. Copy and complete the table. b. Look for a pattern, and write a formula using V, F, and E to show the relationship discovered by Euler. c. If a prism has 10 faces and 24 edges, how many vertices does it have? Use the formula you found in part b.

The area of a circular pool is approximately 707 square feet. The owner wishes to purchase a new cover for the pool. What is the diameter of the cover? (Lesson 11–6)

Suppose the wheels of a car have 29-inch diameters. How many full revolutions will each front wheel make when the car travels 1 mile? (Lesson 11–5)

In ?K, find \(m\overarc{M N}\), \(m\overarc{M W P}\), and \(m\overarc{N W P}\). (Lesson 11-2)

Determine whether each figure has line symmetry. If it does, copy the figure, and draw all lines of symmetry. If not, write no. (Lesson 10–6)

Determine whether each figure has line symmetry. If it does, copy the figure, and draw all lines of symmetry. If not, write no. (Lesson 10–6)

Determine whether each figure has line symmetry. If it does, copy the figure, and draw all lines of symmetry. If not, write no. (Lesson 10–6)

What is the area of the polygonal region in square units? (Lesson 10–3) A. 6 square units B. 8 square units C.10 square units D. 12 square units