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

Find the total surface area of this square based pyramid. 10 in 5 in-example-1
User Jaabh
by
4.6k points

2 Answers

4 votes

Answer: The Surface Area is 125 in^

Explanation:

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

total area = 4 × (25 in²) + 25 in²

Surface area = 125 in²

User Emiswelt
by
5.4k points
5 votes

Answer:

125 in²

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 Azmuhak
by
4.2k points