Question

Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.

Answer 1

B.) 360 units2

Explanation:

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Answer 2

The area of the pyramid is 360 unit²

Explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

`A = a^2 + 2a\sqrt{(a^2)/(4) + h^2}`

Substitute values for a and h

`A = 10^2 + 2 * 10 * \sqrt{(10^2)/(4) + 12^2}`

Evaluate all squares

`A = 100 + 2 * 10 * \sqrt{(100)/(4) + 144}`

`A = 100 + 2 * 10 * √(25 + 144)`

`A = 100 + 2 * 10 * √(169)`

Take positive square root of 169

`A = 100 + 2 * 10 * 13`

`A = 100 + 260`

`A = 360`

Hence, the area of the pyramid is 360 unit²