Surface Area of Pyramids

Front

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

Back

Surface Area = Base Area + Lateral Area = (side length^2) + (1/2 * perimeter of base * slant height)

Front

What is the base area of a square pyramid with a side length of 9 cm?

Back

Base Area = side length^2 = 9 cm * 9 cm = 81 cm²

Front

How do you calculate the lateral area of a square pyramid?

Back

Lateral Area = 1/2 * perimeter of base * slant height

Front

What is the perimeter of the base of a square pyramid with a side length of 9 cm?

Back

Perimeter = 4 * side length = 4 * 9 cm = 36 cm

Front

If the slant height of a square pyramid is 14 cm, what is the lateral area?

Back

Lateral Area = 1/2 * perimeter * slant height = 1/2 * 36 cm * 14 cm = 252 cm²

Front

What is the total surface area of a square pyramid with a base area of 81 cm² and a lateral area of 252 cm²?

Back

Total Surface Area = Base Area + Lateral Area = 81 cm² + 252 cm² = 333 cm²

Front

What is the surface area of a square pyramid with a base area of 100 cm² and a lateral area of 300 cm²?

Back

Total Surface Area = Base Area + Lateral Area = 100 cm² + 300 cm² = 400 cm²

Front

What is the surface area of a square pyramid if the base area is 64 cm² and the lateral area is 128 cm²?

Back

Total Surface Area = Base Area + Lateral Area = 64 cm² + 128 cm² = 192 cm²

Front

If a square pyramid has a base side length of 5 cm and a slant height of 12 cm, what is the surface area?

Back

Base Area = 5 cm * 5 cm = 25 cm²; Perimeter = 20 cm; Lateral Area = 1/2 * 20 cm * 12 cm = 120 cm²; Total Surface Area = 25 cm² + 120 cm² = 145 cm²

Front

What is the surface area of a square pyramid with a base area of 49 cm² and a lateral area of 147 cm²?

Back

Total Surface Area = Base Area + Lateral Area = 49 cm² + 147 cm² = 196 cm²