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Find the total surface area of this square based
pyramid.
10 in
5 in

User Lsaudon
by
6.9k points

1 Answer

3 votes

Answer:

125in

Explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

A = (1/2)bh

A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

A = s² . . . . . where s is the side length

A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

total area = 4 × (area of 1 face) + (area of base)

total area = 4 × (25 in²) + 25 in²

total area = 125 in²

User Jason Kuhrt
by
7.2k points