To calculate the surface area of the figure described, we need to clarify the shape.
If the figure is a rectangular prism (a box) where the length and width are 10 inches and the height is 15 inches, we can calculate its surface area using the formula for the surface area of a rectangular prism:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
Where:
- \( l = 10 \) in (length)
- \( w = 10 \) in (width)
- \( h = 15 \) in (height)
Now let's plug in the values:
\[ \text{Surface Area} = 2((10 \cdot 10) + (10 \cdot 15) + (10 \cdot 15)) \]
Calculating each area:
- \( lw = 10 \cdot 10 = 100 \)
- \( lh = 10 \cdot 15 = 150 \)
- \( wh = 10 \cdot 15 = 150 \)
Now substituting back into the surface area formula:
\[ \text{Surface Area} = 2(100 + 150 + 150) = 2(400) = 800 \text{ in}^2 \]
Thus, the surface area of the figure is 800 in².
If you were provided with options in cm² but the dimensions were in inches, then you will need to convert the units. However, based on the given options, it appears you might not need to convert them. The correct answer is:
800 cm² (assuming it was meant as inches without unit conversion).