Question

A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of the cubes?

Answer 1

A. (4x^2-6y)(16x^4+24x^2y+36y^2)

Explanation:

Question:

A small cube with side length 6y is placed inside a larger cube with side length 4x^2. What is the difference in the volume of the cubes?

Answer 2

64x⁶ - 216y³

Explanation:

The formula for the volume of a cube is

Vol. = l³

For the large cube,

V =(4x²)³

V = 64x⁶

For the small cube,

v =(6y)³

v = 216y³

The difference in volume is

Diff. = 64x⁶ - 216y³