Answer:
Total Surface Area = 375 [tex]ft^2[/tex]
Step-by-step explanation:
You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls
Area of the ceiling:
c = length * width
c = 9*6.5 = 58.5
Area of the 2 rectangle walls:
w = 2(length * width)
w = 2(9 * 8)
w = 2(72)
w = 144
Area of floor:
f = 9 * 7.5
f = 67.5
Area of the two trapezoids:
[tex]t = 2(h * \frac{a + b}{2})[/tex]
a = 6.5
b = 7.5
h = 7.5
[tex]t = 2(h * \frac{a + b}{2})[/tex]
[tex]t = 2(7.5 * \frac{6.5 + 7.5}{2})[/tex]
[tex]t = 2(7.5 * \frac{14}{2})[/tex]
[tex]t = 2(7.5 * 7)[/tex]
[tex]t = 2(52.5)[/tex]
[tex]t = 105[/tex]
Total Surface Area = c + w + f + t
Total Surface Area = 58.5 + 144 + 67.5 + 105
Total Surface Area = 375 [tex]ft^2[/tex]
