A cereal company is redesigning its cereal boxes to make them stand out on the supermarket shelves. For some unknown reason, they went with a triangular prism for the shape of their box. The front and back are isosceles triangles with base 10 inches and height 12 inches. The surface area of the entire box is 384 square inches. What is the depth of the box?

A. 4 in
B. 5 in
C. 7.3 in
D. 10.6 in
*I'm fully aware that the surface area of a triangular prism is just two triangles and three rectangles. With just the area of the two triangles, it is 120, so 384-120= 264. I also got the hypotenuse of the triangle which is 15.6 rounded to the nearest tenth. However, I do not know the length of the rectangle.

the altitude divides the isosceles into two 5-12-13 triangles

13 d + 13 d + 10 d = 264

How many triangles make up a triangular prism?(1 point)

triangles

A triangular prism is made up of 5 triangles.

it says its wrong

I apologize for the mistake. The correct answer is that a triangular prism is made up of 2 triangles and 3 rectangles.

How many rectangle lateral faces make up a triangular prism?(1 point)

___ rectangle lateral faces

A triangular prism has three rectangle lateral faces.