Question

If the areas of the three adjacent faces of the cuboidal wooden box are 120 cm2, 72 cm2, 60cm2 respectively, then find the dimension and volum of the box

Answer 1

let dimension be l,b,h then given
lb=120sqcm
lh=72sqcm
bh=60sqcm
multiplying all three we get (lbh)^2 = 518400
implies lbh= 720cm^3

dimension are h=(lbh/lb)=720/120=6cm
b=10cm and l=12cm