3-Dimensional Geometry

Practice Questions

SAT Subject Test in Math I › 3-Dimensional Geometry

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1

The slant height of a cone is ; the diameter of its base is one-fifth its slant height. Give the surface area of the cone in terms of .

2

The slant height of a cone is ; the diameter of its base is one-fifth its slant height. Give the surface area of the cone in terms of .

3

What is the volume of a regular tetrahedron with edges of ?

4

What is the volume of a regular tetrahedron with edges of ?

5

What is the surface area of the following cone?

Cone

6

The surface area of cone is . If the radius of the base of the cone is , what is the height of the cone?

7

What is the surface area of the following cone?

Cone

8

The surface area of cone is . If the radius of the base of the cone is , what is the height of the cone?

9

The lateral area is twice as big as the base area of a cone. If the height of the cone is 9, what is the entire surface area (base area plus lateral area)?

10

The lateral area is twice as big as the base area of a cone. If the height of the cone is 9, what is the entire surface area (base area plus lateral area)?

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