A shipping box is the shape a cube. Each side measures 3c^6d^2 inches. Express the volume of the cube as a monomial?

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Answer:

[tex]27c^{18}d^6[/tex]

Step-by-step explanation:

The side of each side of cube is [tex]3c^6d^2[/tex]

Volume of cube is given by the formula

[tex]V=(side)^3[/tex]

Substituting the value of side

[tex]V=(3c^6d^2)^3[/tex]

On simplifying, we get

[tex]V=3^3(c^6)^3(d^2)^3\\\\V=27c^{18}d^6[/tex]

Therefore, the expression for the volume is given by [tex]27c^{18}d^6[/tex]