Answer:Volume of the rectangular prism,
Surface area of the rectangular prism,
Let's denote:
Length of the rectangular prism as
Width of the rectangular prism as
Height of the rectangular prism as
We know that the volume of a rectangular prism is given by:
Given that
, we have:
Next, we know that the surface area of a rectangular prism is given by:
Given that
, we have:
We are looking to find the dimensions of the rectangular prism, which are the values of , , and .
To solve this system of equations, we can substitute the value of volume into the equation for surface area and then solve for the dimensions. However, since this process involves non-trivial algebraic manipulations and calculations, I recommend you utilize a calculator or a tool like Desmos to help solve for the dimensions.
Step-by-step explanation: