326,569 views
26 votes
26 votes
Which expression represents the surface area of the

pyramid?
A 4+6+6+6+6
B 3x2
C 4+3+3+3+3
D 4x3

Which expression represents the surface area of the pyramid? A 4+6+6+6+6 B 3x2 C 4+3+3+3+3 D-example-1
User Armando Ramirez
by
2.8k points

2 Answers

11 votes
11 votes

Answer:

the answer is a I think your welcome

15 votes
15 votes

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.

User LulzCow
by
3.1k points