plotting a 3d double integral



I've been looking at Kahn Academy videos at
www.khanacademy.org.

In the Calculus videos on Double Integrals
(videos 5 and 6),
he works a problem for the area under a surface
where the surface z = x*y^2 and y = x^2.

He solves the area under z two ways, essentially:

integrate(integrate(x*y^2,y,0,x^2),x,0,1);
 > 1/24

integrate(integrate(x*y^2,x,y^(1/2),1),y,0,1);
(Maxima can't do it this way)

Is it possible to plot this problem using plot3d
or something else?