The areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Find the volume of the box.
Surface Area, Volume, Capacity
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The areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Find the volume of the box.

KnowledgeBoat · Accepted Answer

It is given that the areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Let `l` be the length, `b` be the breadth and `h` be the height of box. So, l x b = 120 cm² ...............(1) b x h = 72 cm² ...............(2) h x l = 60 cm² ...............(3) Multiplying equation (1), (2) and (3), we get (l x b) x (b x h) x (h x l) = 120 x 72 x 60 cm⁶ ⇒ l² x b² x h² = 518400 cm⁶ ⇒ l x b x h = cm³ ⇒ l x b x h = 720 cm³ As we know that volume of box = l x b x h Volume of box = 720 cm³ Hence, the volume of the box is 720 cm³.

Mathematics

The areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Find the volume of the box.

Surface Area, Volume, Capacity

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