To find the surface area of the described shape, we need to clarify which surfaces we’re calculating. It sounds like we're dealing with a rectangular prism (3D box) with a base area and possibly additional dimensions.
Given the dimensions:
- Width (short side): 15 yards
- Height (tall side): 18 yards
- Length (long side): 15 yards
Step 1: Calculate the surface area.
For a rectangular prism, the formula for the surface area \( A \) is:
\[ A = 2lw + 2lh + 2wh \]
Where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Using the given dimensions:
- \( l = 15 \) yards (length)
- \( w = 15 \) yards (width)
- \( h = 18 \) yards (height)
Step 2: Substitute into the formula.
\[ A = 2(15)(15) + 2(15)(18) + 2(15)(18) \]
Calculating each term:
- \( 2(15)(15) = 450 \)
- \( 2(15)(18) = 540 \)
- \( 2(15)(18) = 540 \)
Now sum them up: \[ A = 450 + 540 + 540 = 1530 \]
Step 3: Final surface area.
Since we've done the calculations, it seems like there is no direct match with the provided answers for surface area in the options listed. If the question was asking for another type of calculation based on the dimensions you've provided (like area of one face or volume instead), please provide that clarification. However, the surface area we've calculated for the rectangular prism does not match any options provided.
To summarize:
- Surface Area of the Rectangular Prism = 1530 yards².
Please verify the requirements or dimensions you were given, as they might differ from what's assumed here.