Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood how must plywood will he need

Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need?  

96 square feet                                     144 square feet

156 square feet                                   168 square feet

Plywood needed = 156 square feet

Step-by-step explanation:

Given:

Height of the triangular prism = 12 feet

Perimeter of its base = 3+4+5 = 12 feet

We have to find the surface area of the  triangular prism so that we can identify how much plywood will be needed to cover its faces.

Formula :

SA = 2(Area of the triangles) + (Perimeter of its base)(Height)

Or

SA = 2(area of the triangles) + area of the 3 rectangles with different width but a common height.

⇒ Surface area of the prism:

⇒

⇒ ...area of   = 1/2*base*height

⇒                         ...perimeter of   is sum of all sides.

⇒

⇒ square feet.

So,

Jess will need 156 square feet of plywood to cover all faces of the ramp.

156

Step-by-step explanation:

I took a test.

they will manufacture 8496 cars