This one is a little tricky !!
Since surface area is in square units...we need to take the square root of the ratio of surface area of A to the surface area of B to get the scale factor
The scale factor from A : B = sqrt [ surface area of A / surface area of B ] =
sqrt [ 28 / 40.32 ] = sqrt [ 25/ 36] = 5/6
Note that Volume of A = (5/6)^3 * Volume of B
Note that we can set up the following relationship :
Mass A density * volume of A
______ = __________________ (cancel the density)
Mass B density * volume of B
Mass A volume of A
______ = ___________
Mass B volume of B
Mass A (5/6)^3 * volume of B
_______ = _________________ (cancel volume of B)
6912 g volume of B
Mass A = (5/6)^3
______ (multiply both sides by 6912 g
6912 g
Mass A = (5/6)^3 * 6912 g = 4000 g
.............. )
