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Question
lesson 12 checkpoint a building that is 150 m tall, 100 m wide, and 80 m deep has glass on all sides except the roof and the base. what is the area of the glass needed for this building? 46,000 m² 54,000 m² 70,000 m² 120,000 m²
Step1: Calculate area of two side - walls
The two side - walls have dimensions of height 150m and width 80m. The area of one such wall is $A_1 = 150\times80$. The total area of two side - walls is $2\times150\times80=24000$ $m^{2}$.
Step2: Calculate area of front and back walls
The front and back walls have dimensions of height 150m and width 100m. The area of one such wall is $A_2 = 150\times100$. The total area of front and back walls is $2\times150\times100 = 30000$ $m^{2}$.
Step3: Calculate total glass area
The total area of the glass is the sum of the areas of the side - walls and front - back walls. So $A=24000 + 30000=54000$ $m^{2}$.
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54,000 $m^{2}$