14 in.
8.5 in.
13 in.
6.5 in.
17 in.
Find the surface area of the two-tiered steps
(1 point)
1,171.5 in.2
879 in.
2,320.5 in.
1,409.5 in.2
To find the surface area of the two-tiered steps, we need to calculate the surface area of each tier separately and then add them together.
Tier 1:
Length: 14 in.
Width: 8.5 in.
Height: 13 in.
Surface Area = 2(length*width + length*height + width*height)
Surface Area = 2(14*8.5 + 14*13 + 8.5*13)
Surface Area = 2(119 + 182 + 110.5)
Surface Area = 2(411.5)
Surface Area = 823 in.2
Tier 2:
Length: 8.5 in.
Width: 6.5 in.
Height: 17 in.
Surface Area = 2(length*width + length*height + width*height)
Surface Area = 2(8.5*6.5 + 8.5*17 + 6.5*17)
Surface Area = 2(55.25 + 144.5 + 110.5)
Surface Area = 2(310.25)
Surface Area = 620.5 in.2
Total Surface Area = Surface Area of Tier 1 + Surface Area of Tier 2
Total Surface Area = 823 + 620.5
Total Surface Area = 1,443.5 in.2
So, the correct answer is 1,443.5 in.2.