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Suppose a square pyramid has a height of 5 meters and a base whose area is 36 square meters.

Explain how to determine the slant height of the pyramid.

Respuesta :

The slant height can be found using Pythagoras theorem, the slant height is the hypotenuse side of the pyramid. Therefore, slant height = √34 meters

How to find the slant height of a pyramid?

The base of the pyramid is a square.

Therefore,

area of a square = l²

where

  • l = side length

hence,

area of the base  = l

36 = l²

l = √36

l = 6 meters

Therefore, using Pythagoras theorem,

l² = 5² + 3²

l² = 25 + 9

l² = 34

l = √34 meters

slant height =  √34 meters

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