Please help: Find the volume of the solid. Use 3.14 for π.

The volume of the solid is 420m³

Step-by-step explanation:

The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.

Knowing this we just need to solve for a couple of things.

First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.

1/3 · B · 15

Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( → → → ) giving us 84 units. This puts another number into our equation.

1/3 · 84 · 15

Now that we have all of the parts to our equation, we can solve it.

1/3 · 84 · 15

1/3 · 1260

420

The volume of the solid is 420m³

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.