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

3 answers

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.
choose a answer choices thats correct
The correct answer choice is:
1,171.5 in.2