The triangular prism has a triangular base with length 12cm and hieght 8cm. the hieght of the prism is 11cm. What is the surface area of the prism

Surface area of triangular prism

has 2 bases with same area (both triangles)

3 rectangle sides that are height 11 and we need to find the other sides

we need the sides of the base to find the rectangles

12/2=6

pythagoren theorem

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

2 sides are 10

so

bases are 1/2 times 12 timm es8 times 2 since 2 bases=96

sides

height for all is 11

legnth is 12 for 1 and 10 for other 2

11*12+11*10+11*10=352

add

96+352=448

answer is 448cm^2