Question

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

Triangular prism has base edges of 8 meters, 9 meters, and 12.04 meters and altitude of 23

Answer 1

lateral area ≈ 668 m²

surface area ≈ 740 m²

Explanation:

The lateral area of a triangular prism = perimeter of the base × height of the prism

lateral area = ph

where

p = perimeter of the base

h = height or altitude

Base edges are 8m , 9m and 12.04m and height is 23 m.

lateral area = ph

lateral area = (8 + 9 + 12.04) × 23

lateral area = 29.04 × 23

lateral area = 667.92 m²

lateral area ≈ 668 m²

Surface area

surface area = lateral area + 2B

where

B = area of it triangular bases

surface area = lateral area + 2B

surface area = 667.92 + 2(1/2 × base × height)

surface area = 667.92 + 2(1/2 × 8 × 9)

surface area = 667.92 + 2(1/2 × 72)

surface area = 667.92 + 2(36)

surface area = 667.92 + 72

surface area = 739.92

surface area ≈ 740 m²