Question

the areas of three adjacent faces of a cuboidal container are 60,000 cm^2, 80,000 cm^2 and 1,20,000 cm^2. if the container is filled with a liquid and the cuboid has whole number side lengths how much litres of liquid can be contained in the container​

Answer 1

$\huge \fbox \purple{❥ Answer}$

area of 3 faces = lb + bh + lh

so, 120 = lb

        72 = bh

        60 = lh

multiply all three

l²b²h² = 518400

so, lbh =√518400 = 720 cm³

Answer 2

Answer:

area of 3 faces = lb + bh + lh

so, 120 = lb

72 = bh

60 = lh

multiply all three

l²b²h² = 518400

so, lbh =√518400 = 720 cm³