Problema Solution

The Water Cube was built in Beijing, China, to house the National Swimming Center for the 2008 Olympics. Although not actually a cube (its height is not equal to its length and width), the Water Cube is designed to look like a "cube" of water molecules. The volume of the 31-meter-high Water Cube is

971,199 m3.

Find the length of a side of its square base. Recall that

V = LWH.

Answer provided by our tutors

Since the base is a square we have L = W thus

V = L*L*H, where L is the length of the side of the base and L>0

V = L^2*H

V = 971,199 m^3

H = 31 m

L^2*31 = 971199

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click here to see the equation solved for L

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L = 177 m

The length of the side of the square base is 177 meters.