SOLUTION: a square pyramid has a height of 1.5 inches, a slant height of 3.9 inches and a volume of 25.92 inches cubed. to the nearest square inch, what is the lateral surface area of the py

1.  Divide the volume of the pyramid by the height and multiply by 3.
    You will get the area of the base:

    A =  = 51.84 square inches.


2.  Take the square root of the area of the base to get the length of the edge at the base 

     =  = 7.2 inches.


3.  Calculate the area of one lateral face, which is a triangle:

    S =  = 14.04 square inches.


4.  Multiply it by 4 to get the full lateral surface, consisting of 4 faces:

    4*14.04 = 56.16 square inches.


5.  It is your answer.