Question & Answer

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?

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

1 Answer

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Quizzma TeamApril 20, 2025

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.