Mathematics
Grade9
Easy

Question

Calculate the total surface area of the rectangular pyramid whose net is shown.

  1. 400 space i n squared
  2. 800 space i n squared
  3. 1 comma 200 space i n squared
  4. 1 comma 600 space i n squared

hintHint:

The surface area of Pyramid =  B space plus space 1 half space cross times space P l spacewhere p is the perimeter of the base , B is area of the base and l is the slant height of the pyramid.

The correct answer is: 1 comma 600 space i n squared


    Given, Slant height of the pyramid is 30 in. and the side of base is 20 in.
    text  The perimeter of base = 4 x 20 = 80 in. end text
text The area of the base is  end text 20 squared equals 400 space i n squared
text  Use the surface area formula,  end text
text  Surface area  end text equals straight B plus 1 half cross times Pl
straight S. straight A equals 400 plus 1 half left parenthesis 80 right parenthesis left parenthesis 30 right parenthesis
equals 1600 space i n squared
    Therefore, the total surface area of the given pyramid is 1600 square inches.

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