Trenton is building a skateboarding ramp in the shape of a triangular prism. according to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. the riding surface would measure 2.5 feet. if trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?

Step-by-step explanation:

Givens

Notice that the ramp is formed by two triangles and three rectangles.

Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is

The base of the ramp has dimensions of 3 feet x 2 feet. Its are is

The back of the ram has an area of

The riding surface is

So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows

This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.

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