Surface Area

Front

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

Back

The surface area (SA) of a square pyramid is given by the formula: SA = Base Area + Lateral Area = s² + 2sl, where s is the length of the base side and l is the slant height.

Front

Define surface area.

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

Front

What is the base area of a square pyramid?

Back

The base area of a square pyramid is calculated as the area of the square base, which is s², where s is the length of one side of the base.

Front

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

Back

The lateral area of a square pyramid can be calculated using the formula: Lateral Area = 2sl, where s is the length of the base and l is the slant height.

Front

What is the slant height in a square pyramid?

Back

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

Front

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

Back

SA = 5² + 2(5)(12) = 25 + 120 = 145 cm².

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square centimeters (cm²), square meters (m²), or square inches (in²).

Front

What is the surface area of a square pyramid with a base side of 6 m and a slant height of 10 m?

Back

SA = 6² + 2(6)(10) = 36 + 120 = 156 m².

Front

How does the surface area of a square pyramid change if the base side is doubled?

Back

If the base side is doubled, the base area increases by a factor of four (since area is proportional to the square of the side length), and the lateral area also increases, resulting in a larger total surface area.

Front

What is the relationship between the surface area and volume of a square pyramid?

Back

Surface area and volume are related but measure different properties; surface area measures the total area of the surface, while volume measures the space inside the pyramid.