Question

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

Answer 1

240 m³

Step-by-step explanation:

The volume of a pyramid is equal to:

`V=(1)/(3)* B* 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=(b* 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=(16*9)/(2)=(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=(1)/(3)*72*10=(1)/(3)*720=240m^3`

Therefore, the volume is 240 m³