Find the surface area of this right triangular prism. dimensions are in feet 6,10,8,12

The total surface area of this right triangular prism = 408 sq feet

Step-by-step explanation:

Dimensions of the Base Rectangle  are  12 feet and 10 feet.

The height  of the triangle  = 6 ft , Base = 8 ft and hypotenuse = 10 ft

Now, A triangular prism has total 5 sides:

3 Rectangular Sides and 2 Triangular sides.

So, TOTAL S.A. of Prism = S. A of all 3 rectangles + S.A of 2 triangular faces

SA of one rectangle =  Length x Width =  12 x 10 = 120 sq feet

⇒SA of 3 rectangular region =  3 x 120 = 360 sq feet

SA of one Triangle =  1/2 x Base x Height =  1/2 x 8 x 6 = 24 sq feet

⇒SA of 2 triangular region =  2 x 24 = 48 sq feet

⇒The total area = SA of 3 rectangular region + SA of 2 triangular region

= 360 sq feet + 48 sq feet = 408 sq feet

Hence the total surface area of this right triangular prism = 408 sq feet

the solution is 12x-6y

table 3 represents a direct variation function. : )