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Probability

Question
CBSEENMA9003493

The total surface area of a cube isExample 3. The total surface area of a cube is  32 2 over 3 Find the volume of the cube.

Solution

Let the length of each edge of the cube be a m.
Total surface area of the cube = 32 2 over 3 space straight m cubed
rightwards double arrow space space space space space space space space 6 straight s squared equals 98 over 3
rightwards double arrow space space space space space space space space space straight a squared equals fraction numerator 98 over denominator 3 cross times 6 end fraction
rightwards double arrow space space space space space space space space space straight a squared equals 49 over 9
rightwards double arrow space space space space space space space space space straight a space equals space square root of 49 over 9 end root
rightwards double arrow space space space space space space space space space straight a equals 7 over 3 space straight m
therefore   Volumen of the cube = a
 
                      equals open parentheses 7 over 3 close parentheses cubed equals 343 over 27 space straight m cubed.