Question : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm³).
Option 1: $343 \sqrt{3}$
Option 2: $49 \sqrt{3}$
Option 3: $334$
Option 4: $343$

Question

Question : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm³).

Option 1: $343 \sqrt{3}$

Option 2: $49 \sqrt{3}$

Option 3: $334$

Option 4: $343$

Team Careers360 · Accepted Answer

Correct Answer: $343$

Solution : Diagonal of cube $= \sqrt3$ × side
⇒ $7\sqrt{3} = \sqrt3$ × side
⇒ side = 7 cm
$ herefore$ Volume of cube = side³$=7^3 = 343$ cm³
Hence, the correct answer is $343$.

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Question : The length of the longest diagonal of a cube is 73 cm. Find its volume (in cm3).Option 1: 3433Option 2: 493Option 3: 334Option 4: 343

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Question : The length of the longest diagonal of a cube is $7 \sqrt{3}$ cm. Find its volume (in cm³).
Option 1: $343 \sqrt{3}$
Option 2: $49 \sqrt{3}$
Option 3: $334$
Option 4: $343$