The anwer is 67/72 and can not be simpled any more
<span>Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13 and b = 24/2 = 12
and the equation of foci:
c² = a² - b²
= 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5
∴ The distance between the foci = 2 * 5 = 10
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I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3