The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.

h = 12

surface area = 192

Step-by-step explanation:

Volume of this prism = 72

The base triangle has an area of B * h/2

The base = 6

The height in red = 2

Area = 1/2 * 6 * 2

Area = 6 ft^2

The volume = B * h = 72

The base = 6

6* h = 72

h = 72/6

h = 12

The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5

The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12

The surface area = 12 + 72 + 48 + 60

The surface area = 192 square feet.