The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 square centimeter is
Since the solid has rectangular faces.
So , we have lb = 16 ……(i)
bh = 32 …………(ii)
lh = 72 …………….(iii)
on multipiying eqns.i,ii and iii,we get
l × b × b × h × l × h = 16 × 32 × 72
l2 × b × h2 = 36864
L × b × h = 192
Hence ,the volume is 192cu cm.