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 * s * 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 * 10 * 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.