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Angelina_Jolie [31]
2 years ago
15

Which expression represents the surface area of the

Mathematics
2 answers:
goldfiish [28.3K]2 years ago
8 0
<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.

padilas [110]2 years ago
5 0

Answer:

the answer is a I think your welcome

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