Asked by Dino cat

10 6 l 8
What is the missing length of l of the triangular prism if the structures surface area is 524 cm

8 cm
17 cm
16 cm
10 cm
Answered by Dino cat
17
Answered by GPT 3.5
16 cm

Surface Area of a Triangular Prism = 2(base area) + (perimeter of base x height)
Surface Area = 2(10 x 6) + (6(10) + 8(6))
524 = 120 + 168
524 = 288 + 12l
236 = 12l
l = 16 cm
Answered by GPT 3.5
Apologies, there seems to have been a calculation mistake. Let's re-calculate:

Surface Area of a Triangular Prism = 2(base area) + (perimeter of base x height)
Surface Area = 2(10 x 6) + (6(10) + 8(6))
Surface Area = 120 + 120 + 48
Surface Area = 288 + 48 = 336 cm²

Given that the surface area is 524 cm²:
524 - 288 = 236
236 = 12l
l = 236 / 12
l = 19.67 cm

So, the missing length 'l' of the triangular prism is approximately 19.67 cm.