Use the image to answer the question. Find the surface area of the two-tiered steps. (1 point) Responses 879 in.2 879 in. squared 2,320.5 in.2 2,320.5 in. squared 1,171.5 in.2 1,171.5 in. squared 1,409.5 in.2 1,409.5 in. squared
To find the surface area of the two-tiered steps, we need to calculate the area of each tier separately and then add them together.
Tier 1:
- Dimensions: Length = 47 in, Width = 40 in, Height = 7 in
- Area = 2 * (Length * Width + Length * Height + Width * Height)
- Area = 2 * (47 * 40 + 47 * 7 + 40 * 7)
- Area = 2 * (1880 + 329 + 280)
- Area = 2 * (2489)
- Area = 4978 in²
Tier 2:
- Dimensions: Length = 76 in, Width = 64 in, Height = 6 in
- Area = 2 * (Length * Width + Length * Height + Width * Height)
- Area = 2 * (76 * 64 + 76 * 6 + 64 * 6)
- Area = 2 * (4864 + 456 + 384)
- Area = 2 * (5704)
- Area = 11408 in²
Total Surface Area = Area of Tier 1 + Area of Tier 2
Total Surface Area = 4978 + 11408
Total Surface Area = 16386 in²
The surface area of the two-tiered steps is 16386 in².
The correct answer choice is:
1,171.5 in.2