Question

A roof is shaped like a square pyramid. The base length is 10 meters and the slant height is 12 meters. What is the surface area?

Answer 1

Surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters

Solution:

Given that  

Shape of the roof is square pyramid.

Base length of square pyramid roof = 10 meters

Slant height of square pyramid roof = 12 meters

Need to calculate the surface area of the roof

$\text { Surface area of square pyramid }=s^{2}+2 \times s \times l$

Where s is side of square base and l is slant height.

In our case s = 10 meters and l = 12 meters

On substituting the given values in formula we get  

Surface area of square pyramid $=10^{2}+(2 \times 10 \times 12)=100+240=340 \text { meters }^{2}$

Hence surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters.