+7 Hey Guys! I need help on this geometry problem in my homework. Any help helps! (See what I did there)
Let ABCDEFGH be a rectangular prism, where EF = 4, EH = 5, and EA = 6. Find the volume of pyramid CFAH.
[asy] unitsize(1 cm); pair A, B, C, D, E, F, G, H; A = (0,0); B = (0,2); C = (0,2) + 2*dir(-30); D = 2*dir(-30); E = A + 3*dir(20); F = B + 3*dir(20); G = C + 3*dir(20); H = D + 3*dir(20); fill(A--H--F--cycle,gray(0.8)); draw(A--B--F--G--H--D--cycle); draw(C--B); draw(C--G); draw(C--D); draw(E--A,dashed); draw(E--F,dashed); draw(E--H,dashed); draw(C--A); draw(C--F); draw(C--H); draw(A--H--F--cycle,dashed); label("$A$", A, SW); label("$B$", B, NW); label("$C$", C, N); label("$D$", D, S); label("$E$", E, S); label("$F$", F, N); label("$G$", G, NE); label("$H$", H, SE); [/asy]
