To find: The function that models surface area of a cube in terms of its volume.
The function that models area of given rectangle is .
Surface area of cube is,
Where S is surface area of cube and a is side of cube.
Volume of cube is,
Where V is volume of cube and a is side of cube.
Take third root of equation (2)
Summarize all the information in a table as shown below.
|In Words||In Algebra|
Use the information in the table and model the function in single variable .
Hence, function that models surface area of cube in terms of volume is s.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!