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?

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