Find the surface area of the two-tiered steps. 14,13,17,8.5,6.5
(1 point)
Responses
2,320.5 in.2
2,320.5 in. squared
1,409.5 in.2
1,409.5 in. squared
879 in.2
879 in. squared
1,171.5 in.2
The formula for finding the surface area of the two-tiered steps can be calculated by finding the area of each tier separately and then adding them together.
First tier:
Length = 17
Width = 14
Height = 8.5
Surface area of first tier = 2 * (17 * 14 + 17 * 8.5 + 14 * 8.5) = 2 * (238 + 144.5 + 119) = 2 * 501.5 = 1003 in^2
Second tier:
Length = 17
Width = 14 - 6.5 = 7
Height = 6.5
Surface area of second tier = 2 * (17 * 7 + 17 * 6.5 + 7 * 6.5) = 2 * (119 + 110.5 + 45.5) = 2 * 275 = 550 in^2
Total surface area = 1003 + 550 = 1553 in^2
Therefore, the closest option is 1,409.5 in^2.