Question

3 faces of cuboid has area 100 cm^2,120 cm^2 and 150 cm^2. What is the volume of cuboid

Answer 1

Answer:

600√5 cm^3

Step-by-step explanation:

lb = 100 = Area of face 1 - eq.1

bh = 120 = Area of face 2. - eq.2

hl = 150 = Area of face 3. - eq.3

Volume of cuboid = lbh

eq.1 × eq.2 × eq.3 = lb × bh × hl = (lbh)^2 =

100 × 120 × 150 = 1800000

Taking root on both sides,

lbh = 600√5 cm^3 =Volume of cuboid