Question

A pie tin with a 9 inch diameter and 1.5 inch depth has a capacity of 53 fluid ounces. A giant pumpkin pie is baked every year for a fall festival using a similarly shaped pie tin with dimensions 12 times a small large.

A what is the capacity of the giant pumpkin pie tin?
B what is the capacity In gallons?

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Answer 1

A. Since the dimensions are multiplied by 12 as stated in the given above, the capacity is equal to the original volume times the cube of 12.
new capacity = (53 fluid ounce) x (12^3) = 91,584 fluid ounce

B. The capacity in gallons is calculated through the equation,
capacity in gallons = (91,584 fluid ounce) x (1 gallon / 128 fluid ounce)
capacity in gallons = 715.5 gallons