Answer:
150 in^2
Explanation:
Each of the 6 identical faces is a triangle with a base of 5 in and a height of 10 in. The area of a triangle is given by the formula ...
A = 1/2·bh
For the given values, the area of one face is ...
A = (1/2)(5 in)(10 in) = 25 in^2
The figure has 6 identical faces of this area, so the total surface area is ...
A = 6×(25 in^2) = 150 in^2