Surface Area of Pyramids and Cones Quiz

What is the main difference between a pyramid and a prism?

• A pyramid is always taller than a prism.

• A pyramid has a vertex, while a prism does not.

• A pyramid has triangular lateral faces, while a prism has rectangular lateral faces.

• A pyramid has a circular base, while a prism has a polygonal base.

What is the slant height of a pyramid?

• The height from the base to the apex inside the pyramid.

• The height of the lateral face of the pyramid.

• The distance around the base of the pyramid.

• The total height of the pyramid from base to apex.

How do you calculate the surface area of a pyramid?

• Base area plus half the perimeter times the slant height.

• Base area plus the perimeter times the height.

• Base area plus the slant height times the height.

• Base area plus the perimeter times the slant height.

If a pyramid has a base area of 100 and a slant height of 13, what is the surface area if the perimeter is 40?

• 260

• 360

• 300

• 400

What is the perimeter of a hexagonal base with each side measuring 10 units?

• 70

• 80

• 60

• 50

What shape is the base of a cone?

• Square

• Circle

• Triangle

• Hexagon

How is the lateral surface area of a cone calculated?

• Pi times the height times the slant height.

• Pi times the radius times the slant height.

• Pi times the radius squared.

• Pi times the diameter times the slant height.

If a cone has a radius of 15 and a slant height of 25, what is its lateral surface area?

• 325 Pi

• 375 Pi

• 350 Pi

• 400 Pi

What is the formula for the surface area of a cone?

• Pi times radius squared plus Pi times diameter times slant height.

• Pi times radius squared plus Pi times radius times slant height.

• Pi times diameter squared plus Pi times diameter times slant height.

• Pi times diameter squared plus Pi times radius times slant height.

If a cone has a radius of 4 and a slant height of 15, what is its total surface area?

• 60 Pi

• 70 Pi

• 80 Pi

• 76 Pi