The ratio of the length to the width to the height of a rectangular box is 12:4:7. The sum of the length and the width is 32 inches. Find the surface area of the box.

The surface area of the box is .

Step-by-step explanation:

Given that,

Ratio of the length to the width to the height of a rectangular box is

The sum of the length and width of box is

From the question,

Dimension of Rectangular box are .

  Let the side of rectangular box is x.

Now,   Sum of length and width is

 Then,                

      ⇒                        

      ⇒                            

Here we get the dimensions are,

Then,  surface Area of rectangular box =

                                                                 =

                                                                 =

                                                                 =

Hence,

The surface area of the box is .

24

step-by-step explanation: