Question

What is the surface area of the regular pyramid given below?

Answer 1

B. 189 units squared

Explanation:

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Answer 2

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

`SA = \frac {1} {2} p * S + A_ {b}`

Where:

p: It is the perimeter of the base

S: It's the inclination

`A_ {b}:` It is the area of the base

Substituting:

`A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2`

ANswer:

Option B