Question : If the total surface area of a cube is 24 sq. units, then what is the volume of the cube?
Option 1: 8 cu. units
Option 2: 16 cu. units
Option 3: 10 cu. units
Option 4: 4 cu. units
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Correct Answer: 8 cu. units
Solution :
Given: The total surface area of a cube is 24 sq. units
We know that,
The total surface area of the cube of side $a$ = 6$a^2$
Or, 24 = 6$a^2$
⇒ $a$ = 2
Now, the volume of the cube = $a^3$
Putting the value, we get:
Volume = $a^3 = 2^3 = 8$ cu. units
Hence, the correct answer is 8 cu. units.
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