Answer:
4000 grams
Step-by-step explanation:
Volumes of similar figures are proportional to the cube of their linear dimensions. Areas are proportional to the squares of their linear dimensions.
Given an area ratio, the ratio of linear dimensions will be the square root of it, or the 1/2 power of the ratio of areas. Then the volume ratio will be the cube of the ratio of linear dimensions or ...
volume ratio = ((area ratio)^(1/2))^3 = (area ratio)^(3/2)
Here, the mass of the smaller object will be proportional to its volume, which, in turn, is proportional to the mass of the larger object times the 3/2 power of the area ratio. So, the mass of object A is ...
((28 cm^2)/(40.32 cm^2))^(3/2) × (6912 grams) = 4000 grams
