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Surface area of a triangular prism

Question 1 of 8

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Use the measurements below for the concrete ramp section

Each end is a right-angled triangle. The right angle is between sides \(a\) and \(b\)

Side \(a\) of each triangular end is 6 m

Side \(b\) of each triangular end is 8 m

Side \(c\) of each triangular end is 10 m

The prism length is 10 m

Both triangular ends and all three rectangular side faces are included. Each rectangular face has the prism length and one side of the triangular end

Schematic net of a right-triangular prism: two congruent right triangles and three rectangles with widths a, b and c and common length L. a is 6 m. b is 8 m. c is 10 m. L is 10 m. Dashed lines are folds.abcL
Net not to scale. Dashed lines are folds; use the stated measurements
1 mark

What is the total surface area of the prism? Give the exact value

Format: Exact value