Question

What is the surface area of the regular pyramid below?

a. 952 units^
b. 864 units^
c. 856 units^
d. 756 units^

Answer 1

864 units^2

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Answer 2

`\boxed{B\:\:\:864\:units^2}`

Explanation:

The surface area of the regular pyramid is the sum of the area of the 4 triangular faces and the area of the square base.

The area of the triangular faces is

`=4* (1)/(2)* base* height`

`=4* (1)/(2)* 16* 19`

`=2* 16* 19`

`=608\:units^2`

The area of the square base

`=l^2`

`=16^2`

`=256\:units^2`

The surface area of the regular polygon is therefore;

`=608+256`

`=864\:units^2`