A cube of side length 2x is given where x represents a positive whole number. Find the Value of x such that 6 times the area of one of cube faces is aqual to volume of the cube.
Answers
Step-by-step explanation:
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Given : A cube of side length 2x is given where x represents a positive whole number.
To Find : Value of x such that 6 times the area of one of cube faces is equal to volume of the cube.
Solution:
cube of side length 2x
Area of one face = (2x)² = 4x²
Volume of cube = (2x)³ = 8x³
6 times the area of one of cube faces is equal to volume of the cube.
=> 8x³ = 6(4x²)
=> 8x³ =24x²
=> 8x = 24
=> x = 3
Value of x = 3
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