Question

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? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale] 96 square feet 144 square feet 156 square feet 168 square feet

Answer 1

The image showing the dimensions is missing, so i have attached it.

Answer:

A = 156 square feet

Step-by-step explanation:

To find how much plywood Jesse will need to cover all the surface simply means we are to find the surface area.

The surface area of the triangular prism is given by;

A = (2 * (Area of the base)) + (Perimeter of base x height)

Now, area of the base=bh/2

b = 3 ft

h = 4 ft

area of the base = 3*4/2 = 6 ft²

perimeter of the base = L + b + h = 4 + 3 + 5 = 12 ft

height of the prism;h = 12 ft

Thus;

surface area of the triangular prism;

A = (2 * 6) + (12*12)

A = 12 + 144

A = 156 ft²