Surface Areas of Pyramids and Cones Quiz

What is the formula for the lateral surface area of a pyramid?

• Perimeter of the base times the slant height

• One-half the perimeter of the base times the slant height

• Base area times height

• Perimeter of the base times height

In a triangular pyramid, if the slant height is 20 and the perimeter is 45, what is the lateral surface area?

• 475 cm²

• 450 cm²

• 400 cm²

• 500 cm²

How do you find the height of an equilateral triangle when given the side length?

• Use a 30-60-90 triangle ratio

• Multiply the side length by the square root of 3

• Divide the side length by 2

• Use the Pythagorean theorem

What is the perimeter of a square base with side length 16?

• 64

• 80

• 48

• 32

For a square pyramid, if the slant height is 8√2 and the perimeter is 64, what is the lateral surface area?

• 375.0 ft²

• 350.0 ft²

• 400.0 ft²

• 362.0 ft²

What is the formula for the area of a pentagon's base given the apothem and perimeter?

• One-half the perimeter times the apothem

• Perimeter times apothem

• Base times height

• One-half the base times height

If a pentagonal pyramid has a slant height of 15 and a perimeter of 43.5, what is the lateral surface area?

• 300.0 in²

• 350.0 in²

• 326.3 in²

• 375.0 in²

What is the lateral surface area formula for a cone?

• π times diameter times height

• 2π times radius times height

• π times radius squared

• π times radius times slant height

For a cone with a radius of 9 and a slant height of 15, what is the lateral surface area?

• 424.1 cm²

• 450.0 cm²

• 475.0 cm²

• 400.0 cm²

If a cone has a radius of 5 and a slant height of 10, what is the total surface area?

• 275.0 ft²

• 250.0 ft²

• 235.6 ft²

• 200.0 ft²