surface area of the rectangular pyramid

1 answer

The surface area of a rectangular pyramid can be calculated using the following formula:

Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)

where:
- Base Area = length * width
- Perimeter of Base = 2 * (length + width)
- Slant Height = height of the pyramid

For example, if the length of the base of the pyramid is 6 units, the width is 4 units, and the height of the pyramid is 5 units, the surface area would be:

Base Area = 6 * 4 = 24 square units

Perimeter of Base = 2 * (6 + 4) = 20 units

Slant Height = 5 units

Surface Area = 24 + (0.5 * 20 * 5)
Surface Area = 24 + (0.5 * 100)
Surface Area = 24 + 50
Surface Area = 74 square units

Therefore, the surface area of the rectangular pyramid in this example is 74 square units.