If the areas of three adjacent faces of a cuboidal box are 729 cm2, 529 cm2 and 289 cm2 , respectively, then find the volume of the box.
Answer & explanation
Correct answer: option 1
We know that,
Area of single cuboidal face = l × b,
Volume of Cuboid = l × b × h
We have,
Areas of 3 adjacent faces = 729 cm2, 529 cm2, and 289 cm2
According to the question,
l × b = 729
b × h = 529
h × l = 289
l × b × b × h × h × l = 729 × 529 × 289
l2 × b2 × h2 = 729 × 529 × 289
l × b × h = \(\sqrt {729×529×289}\)
= l × b × h = 10557