The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. the height of each of the triangular bases is approximately 8.7 centimeters. the height of the prism is 15 centimeters.

This is the concept of surface area of solid materials;
The surface area of a triangular base prism is given by:
SA=bh+l(a+b+c)
base=10 cm
a=10 cm
c=10cm
height=8.7 cm
length=15 cm
Thus,
SA=8.7*10+15(10+10+10)
SA=87+15(30)
SA=87+450
SA=537 cm^2
The answer is 537 cm^2