# Question #ec7ee

##### 1 Answer

The dimensions are

#### Explanation:

Let's look at the actual dimensions of the carton first.

The length of the carton will be the width of three dictionaries placed side by side.

The width of the carton will be the length of one book:

The height will be the thickness of four books on top of each other:

So the carton is

As a polynomial we have to write the dimensions of each book in terms of

Let's call the thickness

The width of each book is therefore

and the length is

The dimensions of the box are therefore:

Length:

Width:

Height:

We can only write a single polynomial if we know what we are doing with the separate dimensions.

If it is the volume of the carton, it would be:

If it is the total surface area it would be: