The surface area for a rectangular prism with a square base is SA = 2s² + 4sh. What is the surface area if S = 2 and h = 4?
1. 32
2. 40
3. 48
4. 56
The surface area for a rectangular prism with a square base is SA = 2s² + 4sh. What is the surface area if S = 2 and h = 4?
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To find the surface area (SA) of the rectangular prism with the given formula SA = 2s² + 4sh, we can substitute the values of s and h.
Given:
– ( s = 2 )
– ( h = 4 )
Now, substitute these values into the formula:
1. Calculate ( 2s² ):
[
2s² = 2(2²) = 2(4) = 8
]
2. Calculate ( 4sh ):
[
4sh = 4(2)(4) = 4(8) = 32
]
3. Now add these two results together to find the total surface area:
[
SA = 8 + 32 = 40
]
So, the surface area is 40.
The correct answer is 2. 40.