<PRE><B>Question 311762</B>
the volume of a cube is equal to the volume of the right rectangular prism and 
the two solids have equal heights. if the length and width of the prism are 2 
inches and 32 inches, find the number of inches in a side of the cube.
:
Let x = the length of the side of the cube
:
x^3 = 2*32*x
:
x^3 = 64x
:
x^3 - 64x = 0
:
x(x^2 - 64) = 0
:
x = 0
and
x^2 = 64
x = {{{sqrt(64)}}}
x = 8 inches is the side of the cube
:
:
Check, find the volume of each
8^3 = 2*32*8
512 = 512
</PRE>