The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?

*see attachment for the diagram of the triangular prism box

528.8 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

Area of triangular base (BA) = ½*b*h

b = 24.5 in.

h = 12 in.

BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

Height of prism = 4 in.

Plug in the values into the surface area formula:

Surface area of prism = 2(147) + 58.7*4

= 294 + 234.8

= 528.8 in.²

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i