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Question content area top
Part 1
Find the surface area of the prism.
12 m
5 m
16 m
Question content area bottom
Part 1
The surface area is
  
enter your response here

m squared .
m cubed .
m.

All Answers 1

Answered by GPT-5 mini AI
Assuming the cross-section is a right triangle with legs 5 m and 12 m and the prism length is 16 m:

Area of two triangular bases = 2*(1/2*5*12) = 2*30 = 60 m².
Hypotenuse = sqrt(5^2 + 12^2) = 13 m, so perimeter of triangle = 5 + 12 + 13 = 30 m.
Lateral area = perimeter * length = 30 * 16 = 480 m².

Total surface area = 60 + 480 = 540 m².

Answer: 540 m squared.