Eulers & Solids

Determine whether the solid is a polyhedron.  Name the solid.

• Yes, prism

• No, prism

• Yes, rectangle

• No, rectangle

Answer explanation

Yes and prism

Use Euler's Theorem to find the number faces if the polyhedron has 10 vertices and 15 edges.

• 7
• 2
• 5
• 6
• 10

Use Euler's Theorem to find the number vertices if the polyhedron has 10 faces and 24 edges.

• 16
• 4
• 5
• 6
• 10

Use Euler's Theorem to find the number edges if the polyhedron has 14 faces and 24 vertices.

• 36
• 7
• 10
• 12
• 14

Use Euler's Theorem to find the number faces if the polyhedron has 20 vertices and 30 edges.

• 12
• 5
• 10
• 15
• 18

Use Euler's Theorem to find the number Vertices if the polyhedron has 18 faces and 30 edges.

• 14
• 6
• 9
• 12
• 15

Describe the cross section formed by the intersection of the plane and the solid

• pentagon
• rectangle
• circle
• triangle
• ellipse/oval

Describe the cross section formed by the intersection of the plane and the solid

• ellipse/oval
• rectangle
• circle
• triangle
• pentagon

Describe the cross section formed by the intersection of the plane and the solid

• rectangle
• circle
• triangle
• ellipse/oval
• pentagon

Describe the cross section formed by the intersection of the plane and the solid

• triangle
• rectangle
• circle
• ellipse/oval
• pentagon