Surface Area of Square Based Pyramids

Front

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

Back

Surface Area = Base Area + Lateral Area = s² + 2sl, where s is the side length of the base and l is the slant height.

Front

What does the term 'base area' refer to in the context of a square-based pyramid?

Back

Base area refers to the area of the square base, calculated as side length squared (s²).

Front

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

Back

Lateral Area = 2sl, where s is the side length of the base and l is the slant height.

Front

If the side length of the base of a pyramid is 4 cm and the slant height is 5 cm, what is the surface area?

Back

Surface Area = 4² + 2(4)(5) = 16 + 40 = 56 cm².

Front

What is the unit of measurement for surface area?

Back

The unit of measurement for surface area is square units, such as cm², m², ft², or in².

Front

What is the significance of the slant height in calculating the surface area of a pyramid?

Back

The slant height is crucial for calculating the lateral area, which contributes to the total surface area.

Front

How does increasing the side length of the base affect the surface area of a square-based pyramid?

Back

Increasing the side length increases both the base area and the lateral area, resulting in a larger total surface area.

Front

What is the surface area of a square-based pyramid with a base side length of 6 m and a slant height of 8 m?

Back

Surface Area = 6² + 2(6)(8) = 36 + 96 = 132 m².

Front

What is the relationship between the base area and the total surface area of a square-based pyramid?

Back

The total surface area is the sum of the base area and the lateral area.

Front

If a square-based pyramid has a base area of 100 cm² and a lateral area of 200 cm², what is its total surface area?

Back

Total Surface Area = Base Area + Lateral Area = 100 cm² + 200 cm² = 300 cm².