The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is 352 m2. Find its volume.
The sides will be x, 2x, 3x
Total surface area =2(x.2x + 2x.3x + x.3x)
⇒2(2x2 + 6x2 + 3x2) = 352
⇒22x2 = 352
⇒x2 = 16
⇒x = 4
So sides are 4 cm, 8 cm and 12 cm
So volume =4×8×12=384 m3