Question

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 equal to the volume of the cube.

Answer 1

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Answer 2

Given :- 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 equal to the volume of the cube.

Solution :-

we know that,

• Area of each faces of cube = (side)²
• Volume of cube = (side)³ .

given that,

• side length of each faces = 2x .
• 6 * (Area of one face) = volume of cube .

putting all valued we get,

→ 6 * (2x)² = (2x)³

→ 6 * 4x² = 8x³

→ 24x² = 8x³

→ x = 3 .

Hence, value of x is 3.