Question

9. Find the volume of the triangular pyramid. (2pts)-10 mI9 m16 m

Answer 1

Answer:

240 m³

Explanation:

The volume of a pyramid is equal to:

$V=\frac{1}{3}\times B\times H$

Where B is the area of the base and H is the height of the pyramid.

Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:

$B=\frac{b\times h}{2}$

Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:

$B=\frac{16\times9}{2}=\frac{144}{2}=72m^2$

Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:

$V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3$

Therefore, the volume is 240 m³