8.MG.2 Surface area- Square Pyramid

Front

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

Back

Surface Area = Base Area + 1/2 * Perimeter of Base * Slant Height

Front

What is the base area of a square pyramid with a side length of 4 feet?

Back

Base Area = side^2 = 4^2 = 16 square feet

Front

If the slant height of a square pyramid is 5 feet, what is the lateral surface area?

Back

Lateral Surface Area = 1/2 * Perimeter of Base * Slant Height = 1/2 * 16 * 5 = 40 square feet

Front

What is the total surface area of a square pyramid with a base area of 16 square feet and a lateral surface area of 40 square feet?

Back

Total Surface Area = Base Area + Lateral Surface Area = 16 + 40 = 56 square feet

Front

What 3D solid does this net create? (Image of a square pyramid net)

Back

Square Pyramid

Front

What is the perimeter of the base of a square pyramid with a side length of 4 feet?

Back

Perimeter = 4 sides * side length = 4 * 4 = 16 feet

Front

How do you find the slant height of a square pyramid?

Back

Use the Pythagorean theorem: Slant Height = √(Height^2 + (1/2 * Base Side Length)^2)

Front

What is the surface area of a square pyramid with a base side of 6 meters and a slant height of 8 meters?

Back

Base Area = 6^2 = 36 m²; Lateral Area = 1/2 * 24 * 8 = 96 m²; Total Surface Area = 36 + 96 = 132 m²

Front

What is the height of a square pyramid if the slant height is 10 feet and the base side length is 6 feet?

Back

Height = √(Slant Height^2 - (1/2 * Base Side Length)^2) = √(10^2 - 3^2) = √(100 - 9) = √91 feet

Front

What is the relationship between the height and slant height of a square pyramid?

Back

The height and slant height are related through the Pythagorean theorem.