Step-by-step Answer
PAGE: 702SET: ExercisesPROBLEM: 2
Please look in your text book for this problem Statement

To find the surface area, first find the slant height of the pyramid.The slant height is the

hypotenuse of a right triangle with legs that are the altitude and a segment with a length

that is one-half the side measure of the base.

Given that height(h) of pyramid = 7 ft.

                                   (Pythagorean theorem)

                            (Substitute )

                                    (Evaluate powers)

                                          (Add: )

                                        (Take square root)

                               (Use a calculator)


                                        (Substitute base = 4)

                                            (Multiply: )


                                         (Substitute base = 4)

                                            (Evaluate powers)

Surface area(T):

                                  (Surface area of regular pyramid)

                  (Substitute )


                                        (Add: )

The surface area is approximately 74.4 square feets.


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