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Volume of a Cuboid (Posted on 2007-03-02) Difficulty: 1 of 5
The areas of three faces of a cuboid box of chocolates are 120cm², 80cm² and 96cm². What is the volume of the box?

No Solution Yet Submitted by Ansh    
Rating: 2.0000 (2 votes)

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Solution An Attempt To Generalisation | Comment 3 of 7 |

Let the area of the three faces of a given cuboid be A, B and C.
Let the cuboid's volume be V and the sides of the cuboid be p, q and r.
Then pq = A; pr = B; qr = C and pqr = V
Accordingly:
 V = pqr
= sqrt(pq*pr*qr)
= sqrt(ABC)

In the given problem:

A = 120; B = 80 and C = 96; and so:

The required volume (V)
= sqrt(120*80*96)
= 960 cubic centimetres.

Edited on March 2, 2007, 9:48 am

Edited on March 2, 2007, 9:56 am

Edited on March 2, 2007, 10:42 am
  Posted by K Sengupta on 2007-03-02 09:41:07

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