Surface Area of Pyramids and Cones Quiz

What is the shape of the lateral faces of a regular pyramid?

• Equilateral triangles

• Scalene triangles

• Right triangles

• Congruent isosceles triangles

How is the lateral area of a pyramid calculated?

• Base area plus slant height

• Perimeter of the base times height

• Half the perimeter of the base times the slant height

• Base area times height

In the example of the square pyramid, what is the total surface area if the lateral area is 142.4 square feet and the base area is 64 square feet?

• 64 square feet

• 206.4 square feet

• 142.4 square feet

• 78.4 square feet

For the canopy problem, why is the base area not included in the canvas calculation?

• The base is too small

• The base is already covered

• The base is not a square

• The base is not part of the canopy

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

• Pi times radius times slant height

• Pi times diameter

• Pi times radius squared

• Two pi times radius

How do you calculate the total surface area of a cone?

• Lateral area plus pi times radius squared

• Lateral area times pi

• Pi times radius squared

• Lateral area minus pi times radius squared

If a cone has a radius of 3.5 and a slant height of 10, what is the lateral area using pi as 3.14?

• 110.5 square feet

• 105.5 square feet

• 100.9 square feet

• 109.9 square feet

What is the base shape of a cone?

• Circle

• Rectangle

• Triangle

• Square

In the cone example, what is the total surface area if the lateral area is 109.9 square feet and the base area is 38.465 square feet?

• 148.9 square feet

• 148.365 square feet

• 150.365 square feet

• 147.9 square feet

What is the significance of the slant height in calculating the surface area of both pyramids and cones?

• It is used to calculate the base area

• It is used to calculate the lateral area

• It is used to calculate the volume

• It is used to calculate the perimeter