10cm 10.6cm 12cm 14cm

Which is the surface area of rectangle Pyramid?

1 answer

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

Surface Area = base area + (1/2)perimeter of base x slant height

Given the dimensions:
Base length = 10cm
Base width = 10.6cm
Slant height = 12cm

First, calculate the base area:
Base area = length x width
Base area = 10cm x 10.6cm
Base area = 106cm²

Next, calculate the perimeter of the base:
Perimeter of base = 2(length + width)
Perimeter of base = 2(10cm + 10.6cm)
Perimeter of base = 2(20.6cm)
Perimeter of base = 41.2cm

Finally, calculate the surface area:
Surface Area = 106cm² + (1/2) x 41.2cm x 12cm
Surface Area = 106cm² + 206.4cm²
Surface Area = 312.4cm²

Therefore, the surface area of the rectangular pyramid is 312.4cm².