Question

A right square pyramid has a base edge length of 10 centimeters and a height of 12 centimeters.What is the surface area of the pyramid?

Answer 1

Given:

A right square pyramid has a base edge length of 10 centimetres.

The height is 12 centimetres.

The surface area of the square pyramid is,

`\begin{gathered} A=a^2+2a\sqrt[]{(a^2)/(4)+h^2} \\ a=10,h=12 \\ SA=10^2+2(10)\sqrt[]{(10^2)/(4)+12^2} \\ SA=100+20\sqrt[]{169} \\ SA=100+20(13) \\ SA=100+260 \\ SA=360\text{ square cm} \end{gathered}`

Answer: surface area of the pyramid is 360 square cm.