Answer :

The expression for the volume of the cube is 27c¹⁸d⁶.

What is the volume of the cube?

The volume of a cube is equal to the product of the length, width, and height of a cube.

The volume of a cube is length × breadth× height

Given that each side of the cube is 3c⁶d² inches.

The volume of a cube is given by the formula as

The volume of a cube =  length × breadth× height

Since each side of the cube = 3c⁶d² inches.

Substituting the value of the side,

The volume of a cube =  3c⁶d²  × 3c⁶d² × 3c⁶d²

The volume of a cube = (3c⁶d² )³

The volume of a cube = 27c¹⁸d⁶

Therefore, the expression for the volume of the cube is 27c¹⁸d⁶.

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