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in Mensuration by (65.5k points)

A solid cubical box of fine wood costs Rs. 256 at the rate of Rs. 500/m3. Find its volume and length of each side.

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The cost of Rs. 500 is for 1m3

The cost of Rs. 256 is for 

\(\frac{256}{500} = \frac{128}{250}\) = \(\frac{64}{125}m^3\)

∴ Volume of the wood = \(\frac{64}{125}m^3\) = 0.512 m3 

Volume = 0.512m 

l3 = 0.512 

l = \(3\sqrt{0.512}\)

l = 0.8 m2 

= 0.8 × 100 

Length of the side = 80 cm, l = 80 cm

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