A hurricane caused flooding in a home at the rate of 102 ft per hour. If that home has a storage closet that is 10' feet wide, 10% feet long, and 10 feet high, how long will it take the storage closet to fill with
water? Write your answer as a power of 10.

step-by-step explanation:

compare

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step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb