In the United States, a doll house has the scale of 1:12 of a real house (that is, each length of the doll house is 1/12 that of the real house) and a miniature house (a doll house to fit within a doll house) has the scale of 1:44 of a real house. Suppose a real house has a front length of L = 25 m, a depth of 12 m, a height of 6.0 m, and a standard sloped roof (vertical triangular faces on the ends) of height h = 3.0 m.
a)What is the volume of the corresponding doll house in cubic meters?
b) What is the volume of the corresponding miniature house in cubic meters?