dilated volume with a factor of 2 of any geometrical shape in 3 dimension will vary by 2^3 , so volume of 450 ft3 will change to 450 *2^3 = 3600 ft3

V = 450 / 8 = 56•25 ft³ ______if reduced

V = 8 x 450 ft³ = 3600 ft³____if magnified

The shape of the solid is irrelevant. When it is dilated by a factor of 2, then its volume increases by a factor of 2³.

(450 ft³)(2³) = 3600 ft³