Advanced Geometry - Solid Geometry

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

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 .

4

Find the surface area of a regular tetrahedron with a side length of $\frac{1}{2}$ .

5

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

6

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

7

Find the surface area of a regular tetrahedron with a side length of $\frac{1}{2}$ .

8

Find the surface area of a regular tetrahedron with a side length of $\frac{1}{2}$ .

9

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

10

A regular tetrahedron has a surface area of $684cm^{2}$ . Each face of the tetrahedron has a height of . What is the length of the base of one of the faces?

Solid Geometry

Practice Questions