10.6 cm

Question

10 cm
14 cm
12 cm

what is the surface area of the rectangular pyramid?

Answer 1

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, we need to calculate the base area of the rectangular pyramid:

Base Area = length * width
Base Area = 10.6 cm * 10 cm
Base Area = 106 cm^2

Next, we need to calculate the perimeter of the base:

Perimeter of Base = 2*(length + width)
Perimeter of Base = 2*(10.6 cm + 10 cm)
Perimeter of Base = 2*(20.6 cm)
Perimeter of Base = 41.2 cm

Given that the height (slant height) of the pyramid is 14 cm, we can now calculate the surface area:

Surface Area = 106 cm^2 + (1/2) * 41.2 cm * 14 cm
Surface Area = 106 cm^2 + 286.4 cm^2
Surface Area = 392.4 cm^2

Therefore, the surface area of the rectangular pyramid is 392.4 cm^2.