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Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?​

Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?​-example-1
User Camway
by
2.5k points

1 Answer

16 votes
16 votes

Answer:

The answer is "
125 \ in^2"

Explanation:

There is a base of five on every triangular face and a height of ten in. The field of the formulation


A = ((1)/(2))bh \\\\A = ((1)/(2) * 5\ in * 10\ in)


= (50 )/(2) \ in^2\\\\=25 \ in^2\\\\

The base of the square has a formula area


A = s^2 = (5\ in)^2 = 25 \ in^2

The total area consists of the sum of the four-face area and the base:
total \ \ area = 4 * \text{(area of 1 face) + (area of base)}


= 4 * (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2

User Hendry Lim
by
3.2k points