16,387 views
38 votes
38 votes
Find the lateral area of this square
based pyramid.
10 in
5 in

Find the lateral area of this square based pyramid. 10 in 5 in-example-1
User Alonzo
by
2.3k points

1 Answer

24 votes
24 votes

Answer:

The lateral area of this square pyramid is 100 in^2

Explanation:

The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.

In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.

AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):

1/2 x 10 x 5 = 25

Multiply that by 4 since all 4 triangular faces are similar:

25 x 4 = 100

So the lateral area of the square pyramid is 100 in^2.

Please rate my answer once you know its score! :DD

User TyMayn
by
3.3k points