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Surface area of a triangular prism

Question 1 of 8

Calculator allowed

Use the measurements below for the cardboard packaging box

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

Side \(a\) of each triangular end is 5 cm

Side \(b\) of each triangular end is 12 cm

Side \(c\) of each triangular end is 13 cm

The prism length is 24 cm

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 5 cm. b is 12 cm. c is 13 cm. L is 24 cm. Dashed lines are folds.abcL
Net not to scale. Dashed lines are folds; use the stated measurements
1 mark

Calculate the area of all included faces. Give the exact value

Format: Exact value