Question in the description!!! Please help!

Question

Question: Three identical boxes are stacked by placing the bases on top of each other. Each box has a base that is 18 inches by 9 inches and is 4 feet tall.How much paper is needed to cover the box?                                                                                

 

 

 

 

This is the unit 4 i belive in the texas springboard lesson for geometry. Lesson 18-3. I am desperate.

Formulas: Latheral area of a prism: PH (P=Perimeter of the base) (H=length between the two bases)

               Surface area of a prism: PH+2B (2B= two times the perimeter of the base.)

 

Thanks sooooo muchhhhh

Answer 1

By definition, a box has six rectangular faces, so I do not know why you are referring to prism formulas. As your question reads, you have three identical boxes that measure 18" x 9" x 48". If you stack three of these, then you end up with a very large "box" that is 18" x 9" x 192". The surface area of the very large "box" is:

 

2(18*9) + 2(18*192) + 2(9*192) = 324 + 6912 + 3456 = 10,692 in²