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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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.
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