Answer: The length, breadth, and height of the rectangular prism are:
Length = 3x + y cm
Breadth = 2x + 2y cm
Height = 3y cm
The volume of the rectangular prism is given by the formula:
Volume = Length x Breadth x Height
Substituting the values, we get:
Volume = (3x + y) x (2x + 2y) x (3y)
Simplifying the expression, we get:
Volume = 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3
Therefore, the volume of the rectangular prism is 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3 cubic cm.
Explanation: