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