The lateral area of the triangular prism is: 720 in.²
The surface area of the triangular prism is: 840 in.²
What is the Lateral Area of a Triangular Prism?
Lateral area of a triangular prism (AL) = (a+b+c)h
What is the Surface Area of a Triangular Prism?
Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh
a. Lateral area of a triangular prism:
- a = √(17² - 15²) = 8 in.
- b = 15 in.
- c = 17 in.
- h = 18 in.
Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²
b. Surface area of a triangular prism:
- s1 = 8 in.
- s2 = 15 in.
- s3 = 17 in.
- L = 18 in.
- b = 8 in.
- h = 15 in.
Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²
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