The volume of a cube is 1,728 cubic units. What is the length of one side?
2 answers:
The volume for a cube is length x width x height. V = L*W*H Substitute V with the volume: 1728 = L*W*H Because it is a cube, we know that the length, width, and height will all be equivalent. Let's say that L, W, and H are all x. 1728 = x*x*x We know that x times x times x is really just x cubed. 1728 = x³ We must cube root both sides. You should get 12, that means that 12 x 12 x 12 = 1728 :)
The volume of a rectangular prism is always LWH=V, the cube is a special prism in that L=W=H are all equal so: V=s^3 where s is the length of all sides... s^3=1728 s=1728^(1/3) s=12 units
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