Question

Find the lateral area for the regular pyramid.

L. A. =

Answer 1

Answer:
`4√(13)`

Explanation:

The formula for calculate the lateral area of regular pyramid is:

`LA=(1)/(2)pl`

Where p is the perimeter of the base and l is the slant height.

Calculate the slant height with Pythagorean Theorem:

`l=√(3^2+2^2)=√(13)`

The perimeter is:

`p=4*2=8`

Then the result is:

`LA=(1)/(2)8*√(13)=4√(13)`

Answer 2

≈ 12.65 Square units

Explanation:

lateral area of a pyramid may be given by the formula;

L. A = l√((w/2)² + h²) + √((l/2)² +h²)

length = 2 , width = 2 and height = 3

= 2 √((2/2)² + 3²) + 2 √((2/2)² + 3²)

= 2 √10 + 2√10

= 4√10

= 12.649

≈ 12.65 Square units