The diagonal of one face of a cube measures 42 inches . what is the volume of the cube?
Created: 7 months ago | Updated: 1 month ago
Job Solution Oil & Gas Co. Ltd Titas Gas Co.Ltd - Deputy Asst. Engineer - 18.02.2011 গণিত
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Let's call the length of each side of the cube 's'. 

Then the diagonal of one face is 4√2 inches. We can use the Pythagorean theorem to find the length of 's':

s2 + s2 = (4√2)2 

⇒ 2s2 = 32 

⇒ s2 = 16 

∴ s = 4 inches

So the volume of the cube is:

V = s3 

⇒ V = 43 

∴ V = 64 cubic inches.

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