What is the surface area of the rectangular pyramid?
12 mm
8 mm
15 mm
10 mm
To calculate the surface area of a rectangular pyramid, you use the formula:
Surface Area = Base Area + (0.5 x Perimeter of the Base x Slant Height)
Given:
Base dimensions: 8mm x 12mm
Slant height: 15mm
First, calculate the base area:
Base Area = length x width
Base Area = 8mm x 12mm
Base Area = 96 mm^2
Then, calculate the perimeter of the base:
Perimeter = 2(length + width)
Perimeter = 2(8mm + 12mm)
Perimeter = 2(20mm)
Perimeter = 40mm
Now, calculate the surface area:
Surface Area = 96mm^2 + (0.5 x 40mm x 15mm)
Surface Area = 96mm^2 + (0.5 x 600mm^2)
Surface Area = 96mm^2 + 300mm^2
Surface Area = 396mm^2
Therefore, the surface area of the rectangular pyramid is 396 mm^2.