# geometry

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A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet ae there in each side of the base?
a. 4
b. 2
c. (2 square root of 3)/3
d. square root of 3 / 2
e. square root of 3

• geometry -

V = Lwh
the volume (given) = 24 ft^3
the height (given) = 18" = 1.5'

24 = L*w*1.5
divide both sides by 1.5
16 = Lw

You need to find the number of feet in each side of the base
since the box has a square base
L = W
AND, found above, L*w = 16

which of the above answers, a, b, c or d, when multiplied by itself, equals 16?

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