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Question

A solid cubical block of fine wood costs ₹256 at the rate of ₹500/m3. Find the length of each side.

A
90 cm
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B

80 cm

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C
70 cm
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D
120 cm
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Solution

The correct option is B

80 cm


Let the edge length of the cubical box be 'a' m.

Given, ₹500 is the cost of 1 m3 of wood.

Then, ₹256 is the cost of (256500)m3 of the wood, which is 0.512 m3 of the wood.

So, volume of the total wood = 0.512 m3

Volume of the cube = a3
a3=0.512m3a=0.8 m

Hence, length of each side of the cubical block of wood is 80 cm.

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