Question : If the total surface area of a cube is 96 cm2, its volume is:
Option 1: 56 cm3
Option 2: 16 cm3
Option 3: 64 cm3
Option 4: 36 cm3
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Correct Answer: 64 cm 3
Solution :
Given: Total surface area of cube = 96 cm
2
Let the sides of the cube be $a$ cm.
⇒ $6a^2 = 96$
⇒ $a^2 = 16$
⇒ $a = 4$
Volume of the cube $=a^3 =4^3= 64$ cm
3
Hence, the correct answer is 64 cm
3
.
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