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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10557 cm³
Areas of 3 adjacent faces,729 cm2, 529 cm2, and 289 cm2
Area of single cuboidal face = l × b
The volume of Cuboid = l × b × h [where l is the length, b is the breadth, and h is the height]
ATQ -
l × b = 729
b × h = 529
h × l = 289
Multiplying all three results -
l × b × b × h × h × l = 729 × 529 × 289
l2 × b2 × h2 = 729 × 529 × 289
Taking square root on both sides -
l × b × h = √729 × 529 × 289
l × b × h = 10557 cm3