To calculate the surface area (SA) of the rectangular prism using the formula:
\[ SA = 2lw + 2lh + 2wh \]
Given:
- \( l = 8 \) cm
- \( w = 6 \) cm
- \( h \) is not specified with a numeric value.
If we assume \( h \) to represent a particular height, which should be provided to complete the calculation. Since it is not given in your question, I’ll proceed with a symbolic approach.
For now, substituting the given values into the formula without a numeric height \( h \):
- Calculate \( 2lw \):
\[ 2lw = 2 \times 8 \times 6 = 96 \text{ cm}^2 \]
- Calculate \( 2lh \):
\[ 2lh = 2 \times 8 \times h = 16h \text{ cm}^2 \]
- Calculate \( 2wh \):
\[ 2wh = 2 \times 6 \times h = 12h \text{ cm}^2 \]
Now, combine the terms:
\[ SA = 96 + 16h + 12h \]
\[ SA = 96 + 28h \]
Without the specific value for \( h \), we cannot provide an exact numeric answer. In a typical scenario, if \( h \) were to hold a value, you could directly substitute it into \( SA = 96 + 28h \) to find the surface area.
For example, if \( h = 2 \) cm:
\[ SA = 96 + 28 \times 2 = 96 + 56 = 152 \text{ cm}^2 \]
Thus based on responses provided, if \( h \) were to equal 2 cm, the answer would be:
D. 152 cm²
Please provide the value of \( h \) if there is a specific height to use.