Faces, Face Area, and Vertices

Practice Questions

SAT Subject Test in Math II › Faces, Face Area, and Vertices

Questions
9
1

A convex polyhedron with eighteen faces and forty edges has how many vertices?

2

A regular icosahedron has twenty congruent faces, each of which is an equilateral triangle.

A given regular icosahedron has edges of length four inches. Give the total surface area of the icosahedron.

3

How many edges does a polyhedron with eight vertices and twelve faces have?

4

A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.

The total surface area of a given regular tetrahedron is 600 square centimeters. To the nearest tenth of a centimeter, what is the length of each edge?

5

How many faces does a polyhedron with nine vertices and sixteen edges have?

6

How many edges does a polyhedron with fourteen vertices and five faces have?

7

How many faces does a polyhedron with ten vertices and sixteen edges have?

8

A regular octahedron has eight congruent faces, each of which is an equilateral triangle.

The total surface area of a given regular octahedron is 400 square centimeters. To the nearest tenth of a centimeter, what is the length of each edge?

9

How many faces does a polyhedron with ten vertices and fifteen edges have?

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