Asked by Vaggi
10 cm
10 cm
6 cm
8 cm
What is the missing length l of the triangular prism if the surface area is 524 square centimeters?
(1 point)
O
16 cm
17 cm
8cm
10 cm
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the diagram, so I need one clarification: which three edges form the triangular base, and which edge is the prism length l (the distance between the two triangular bases)?
If the triangular base is the 6–8–10 right triangle (6 and 8 the legs, 10 the hypotenuse) and l is the prism length, then
- area of one triangle = (6·8)/2 = 24, so two triangles = 48,
- lateral area = perimeter of base · l = (6+8+10)·l = 24l,
- total surface area = 48 + 24l = 524 → 24l = 476 → l = 476/24 = 119/6 ≈ 19.83 cm.
That value is not one of the given choices (16, 17, 8, 10). If your diagram is different, please upload it or say which edges are the triangle and which edge is l and I’ll recompute.
If the triangular base is the 6–8–10 right triangle (6 and 8 the legs, 10 the hypotenuse) and l is the prism length, then
- area of one triangle = (6·8)/2 = 24, so two triangles = 48,
- lateral area = perimeter of base · l = (6+8+10)·l = 24l,
- total surface area = 48 + 24l = 524 → 24l = 476 → l = 476/24 = 119/6 ≈ 19.83 cm.
That value is not one of the given choices (16, 17, 8, 10). If your diagram is different, please upload it or say which edges are the triangle and which edge is l and I’ll recompute.
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