Question

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

Answer 1

Answer:

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 ( $\frac{base * height}{2}$ → $\frac{24*7}{2}$ → $\frac{168}{2}$ → $84$) 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