Question

The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meters. What is the lateral area of the prism? What is the total suface area?

Answer 1

Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP ; height * perimeter
= 3m * (6 + 8 + 10)
= 3m * 24
LA = 72 m²

Surface Area Formula:
SA = 2B + hP : B = area of the base = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²