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

lateral area ≈ 668  m²

surface area ≈ 740 m²

Step-by-step 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

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a