Question 1189049
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A rectangular parallelepiped is inscribed in a sphere whose diameter is 25 cm. 
find the volume of the parallelepiped if its length is 20 cm and its width is 12 cm.
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Notice that the longest 3D diagonal of the parallelepiped is the diameter of the sphere.


So, apply the 3D Pythagorean formula


    25^2 = 20^2 + 12^2 + h^2 


where h is the height of the parallelepiped, which is the only unknown its dimension.


From the equation,  h = {{{sqrt(25^2 - 20^2-12^2)}}} = {{{sqrt(81)}}} = 9 cm.


Thus the volume of the parallelepiped is  20*12*9 = 2160 cubic centimeters.    <U>ANSWER</U>
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Solved.