The diagonal length of the cubic plane of a regular tetrahedral prism has the root number of 2.

Single-sided area S=[ (root number 2)] (side length) * [(root number 2)* (root number 3)/2] (height) /2= (root number 3)/2.

Surface area 4S=2 (root number 3)

Surface area ratio 6/[2 (root number 3)]= root number 3.

The bottom of the right-angle prism is a diamond.

Then the sides are four identical rectangles, with one side being the length of a diamond and the other side being the height of a straight prism. It is known that the key to this problem is to find the side length of the diamond, and then the area of the rectangle can be found.

Diagonal lines of the diamond are perpendicular to each other and equally divided. Let the diagonal lengths of the diamond be a and b respectively.

Then (a/2)? +(b/2)？ = side length?

Body diagonal refers to the connecting line between top angle and bottom angle, and forms a right triangle with bottom diagonal and height.

Answer? +5? = 15? (a/2)？ =( 15? -5? )/4=50

b？ +5? =9? (b/2)？ =(9? -5? )/4= 14

Bottom length? =50+ 14=64

Side length =8

Transverse area =4*8*5= 160cm?