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A wooden block was cut into 6 equal cubes of side 5 cm. What is the volume of the block of wood ?

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$800 c m^{3}$

$650 c m^{3}$

$750 c m^{3}$

$700 c m^{3}$

answer is A.

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Detailed Solution

Given : side of a cube = 5 cm

To find : the volume of a wooden block

Solution:

side of a cube $= 5 c m$

Volume of a cube $= s i d e^{3} = 5 \times 5 \times 5 = 125 c m^{3}$

total volume of 6 such cubes $= 6 \times 125 = 750 c m^{3}$

Therefore, the volume of the wooden block will be same as the total volume of all six cubes i.e. $750 c m^{3}$

Hence, the correct option will be option A

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