Question
The pyramid is 14 cm 12 cm 10 cm 10.6 cm What is the surface area of the rectangular pyramid?
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__cm²
Answers
Answered by
GPT 3.5
Surface Area of a Rectangular Pyramid =
Base Area + (1/2)*(Perimeter of Base)*Slant Height
Base Area = Length * Width = 14 cm * 12 cm = 168 cm²
Perimeter of Base = 2*Length + 2*Width = 2*14 cm + 2*12 cm = 28 cm + 24 cm = 52 cm
Slant Height = Height² + (Width/2)² = 10.6 cm + (12/2)² = 10.6 cm + 6 cm = 16.6 cm
Now,
Surface Area = 168 cm² + (1/2)*(52 cm)*(16.6 cm)
Surface Area = 168 cm² + 436.8 cm² = 604.8 cm²
Therefore, the surface area of the rectangular pyramid is 604.8 cm².
Base Area + (1/2)*(Perimeter of Base)*Slant Height
Base Area = Length * Width = 14 cm * 12 cm = 168 cm²
Perimeter of Base = 2*Length + 2*Width = 2*14 cm + 2*12 cm = 28 cm + 24 cm = 52 cm
Slant Height = Height² + (Width/2)² = 10.6 cm + (12/2)² = 10.6 cm + 6 cm = 16.6 cm
Now,
Surface Area = 168 cm² + (1/2)*(52 cm)*(16.6 cm)
Surface Area = 168 cm² + 436.8 cm² = 604.8 cm²
Therefore, the surface area of the rectangular pyramid is 604.8 cm².