Question

if the areas of the three adjacent faces of a cuboidal box are 120cm²,72cm²and 60cm² respectively, then find the volume of the box.​

Answer 1

Answer:

l×b=120 l=120/b equation 1

l×h=72 equation 2

b×h=60 h=60/b equation 3

put the values of l and h from equation 1 and 3 in equation 2

(120/b)(60/b)=72

b^2=120×60/72=100

b=10

l=12 from equation 1

h=6 from equation 3

volume=12×10×6=720