What is the surface area of a square based pyramid if the square side is 8 and the pyramid height is 12. a) 266.39 b) 294.76 c) 525.51 d) 304

Question

asked Oct 7, 2023 162k views

2 Answers

Tupteq · Answer 1 · 2023-10-09T03:06:34+0000

Answer:

a) 266.39 unit^2.

Explanation:

Area of the base = 8^2 = 64 .

There are 4 triangular sides.

To find the area of 1 side we need to know the slant height s of the triangle, This can be found using the Pythagoras Theorem

s^2 = 4^2 + 12^2 = 160

s = √160

So the area of 1 side = 1/2 * base * s

= 1/2 * 8 * √160

and

area of 4 sides

= 4 * 1/2 * 8 * √160

= 202.386

So the Surface area of the pyramid

= 64 + 202.386

= 266.386