If the area of three advancement faces of a cuboidical box

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If the area of three advancement faces of a cuboidical box 120 sq cm, 72 sq cm and 60 sq cm, respectively, then find the volume of the box. ?

1. 820 cm³
2. 720 cm³
3. 750 cm³
4. 750 cm³

Correct Option: B

Given, lb = 120 sq cm., bh = 72 sq cm, lh = 60 sq cm.
∴ lb x bh x lh = 120 x 72 x 60
⇒ (lbh)² = 120 x 72 x 60
⇒ lbh = √120 x 72 x 60
= √12 x 10 x 12 x 6 x 10 x 6
= 12 x 10 x 6 = 720 cm³