Respuesta :
The surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
What is surface area ?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Given, base of prism = 60 feet, height of the prism h₁= 150 feet, and height of the pyramid h₂ = 1/6 (150)
= 25 feet.
The surface area of the exterior of the building = lateral surface area of prism + pyramid.
SA = ( 4ah₁ ) +(a√(a² + 4h₂²) )
SA = ( 4(60)150 ) + ( 60(√60² + 4(25)² )
= ( 240* 150 ) + 60(√3600 +2500 )
= 36000 + 60(√6100)
= 36000 + 60(78.1024)
= 36000 + 4686.15
= 40686.15
≈ 40700 feet².
Therefore, the surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
Know more about lateral surface area here:
https://brainly.com/question/27847638
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