What is the surface area of the rectangular pyramid?
10.6m
10m
14m
12m
To calculate the surface area of a rectangular pyramid, you need to find the area of the base and add the area of the four triangular faces.
Given:
Base length = 10m
Base width = 14m
Slant height = 12m
Step 1: Calculate the area of the base
Area of the base = length * width
Area of the base = 10m * 14m
Area of the base = 140m^2
Step 2: Calculate the area of each triangular face
Area of a triangular face = 0.5 * base * height
Area of each triangular face = 0.5 * 10m * 12m = 60m^2
Step 3: Calculate the total surface area
Surface area = Area of base + 4(Area of triangular faces)
Surface area = 140m^2 + 4(60m^2)
Surface area = 140m^2 + 240m^2
Surface area = 380m^2
Therefore, the surface area of the rectangular pyramid is 380m^2.
__cm^2
To convert the surface area from square meters to square centimeters, we need to remember that 1 square meter is equal to 10,000 square centimeters.
So, to convert 380m^2 to cm^2:
380m^2 * 10,000 cm^2/m^2 = 3,800,000 cm^2
Therefore, the surface area of the rectangular pyramid is 3,800,000 cm^2.