What is the surface area of the rectangular pyramid? 12mm 15 mm 10mm 8mm

(1 point)

1 answer

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

Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height

First, calculate the base area:
Base Area = length x width
Base Area = 12mm x 10mm
Base Area = 120 mm²

Next, calculate the perimeter of the base:
Perimeter of Base = 2(length + width)
Perimeter of Base = 2(12mm + 10mm)
Perimeter of Base = 2(22mm)
Perimeter of Base = 44mm

Given that the slant height is 15mm, calculate the surface area by plugging in the values into the formula:
Surface Area = 120 mm² + (1/2) * 44mm * 15mm
Surface Area = 120 mm² + (1/2) * 660mm²
Surface Area = 120 mm² + 330 mm²
Surface Area = 450 mm²

Therefore, the surface area of the rectangular pyramid is 450 mm².