Surface Area of a Square Pyramid

Front

What is a square pyramid?

Back

A square pyramid is a three-dimensional shape with a square base and four triangular faces that meet at a single point called the apex.

Front

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

Back

The total surface area (SA) of a square pyramid is calculated using the formula: SA = Base Area + Lateral Area, where Base Area = side² and Lateral Area = 2 * base * slant height.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula: Area = side².

Front

What is the slant height of a pyramid?

Back

The slant height is the distance from the apex of the pyramid to the midpoint of one of the sides of the base.

Front

What is the base area of a square pyramid with a side length of 5 cm?

Back

The base area is 5 cm * 5 cm = 25 cm².

Front

If the slant height of a square pyramid is 10 cm and the base length is 6 cm, what is the lateral area?

Back

The lateral area = 2 * base * slant height = 2 * 6 cm * 10 cm = 120 cm².

Front

What is the total surface area of a square pyramid with a base area of 36 cm² and a lateral area of 48 cm²?

Back

Total surface area = Base Area + Lateral Area = 36 cm² + 48 cm² = 84 cm².

Front

What is the total surface area of a square pyramid with a base side of 4 in and a slant height of 5 in?

Back

Base Area = 4 in * 4 in = 16 in²; Lateral Area = 2 * 4 in * 5 in = 40 in²; Total Surface Area = 16 in² + 40 in² = 56 in².

Front

What is the lateral area of a square pyramid with a base length of 8 m and a slant height of 6 m?

Back

Lateral Area = 2 * base * slant height = 2 * 8 m * 6 m = 96 m².

Front

What is the total surface area of a square pyramid with a base area of 25 m² and a lateral area of 30 m²?

Back

Total Surface Area = Base Area + Lateral Area = 25 m² + 30 m² = 55 m².