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 ( [tex]\frac{base * height}{2}[/tex] → [tex]\frac{24*7}{2}[/tex] → [tex]\frac{168}{2}[/tex] → [tex]84[/tex]) 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
