# Answer to Question #31206 in Geometry for Kiersten

Question #31206

1. In a square pyramid, the perimeter of the base is 72 m. The surface area is 864 m squared. Find the slant height of the pyramid.

2. A right pentagonal prism has a height of 6 in. The regular pentagon has a side length of 2 in. Find the surface area of the prism.

3. A machinist drilled a conical hole into a cube of metal. If the cube has sides of length 5 cm, what is the volume of the metal after the hole is drilled?

4. Two similar cylinders have a surface area of 96(pi) square ft and 150(pi) square feet. The height of each cylinder is equal to its diameter. Find the dimensions (radius and height) of one cylinder and use their scale factor to find the dimensions of the other cylinder.

2. A right pentagonal prism has a height of 6 in. The regular pentagon has a side length of 2 in. Find the surface area of the prism.

3. A machinist drilled a conical hole into a cube of metal. If the cube has sides of length 5 cm, what is the volume of the metal after the hole is drilled?

4. Two similar cylinders have a surface area of 96(pi) square ft and 150(pi) square feet. The height of each cylinder is equal to its diameter. Find the dimensions (radius and height) of one cylinder and use their scale factor to find the dimensions of the other cylinder.

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