<h3>
Solution:</h3>
Surface area is the sum of the area of faces.
<u>This means that:</u>
- Surface area of prism = 4(area of triangle) + area of square
<u>Finding the surface area of the prism.</u>
- => Surface area of square based prism = 4(1/2 x 2 x 3) + 2 x 2
- => Surface area of square based prism = 4(3) + 4
- => Surface area of square based prism = 12 + 4 = 16 units²
<u>Verifying Option A</u>
- 4 + 6 + 6 + 6 + 6
- => 4 + 24
- => 28 units² ≠ 16 units²
Thus, Option A is incorrect.
<u>Verifying Option B</u>
- 3 x 2
- => 6 units² ≠ 16 units²
Thus, Option B is incorrect.
<u>Verifying Option C</u>
- 4 + 3 + 3 + 3 + 3
- => 4 + 12
- => 16 units² = 16 units²
Thus, Option C is correct.
<u>Verifying Option D</u>
- 4 x 3
- => 12 units² ≠ 16 units²
Thus, Option D is incorrect.
<u>In conclusion...</u>
Option C is correct.