What is the volume of a right triangular pyramid whose base is 5 meters on each side and whose altitude is 4 meters?

1 answer

The volume of a pyramid can be calculated using the formula:

V = (1/3) * base area * height

In this case, the base is a right triangle, so the base area can be calculated using the formula for the area of a triangle:

A = (1/2) * base * height

Substituting the values given:

A = (1/2) * 5m * 4m
= 10m²

Now, we can calculate the volume using the formula for a pyramid:

V = (1/3) * 10m² * 4m
= (1/3) * 40m³
= 13.33m³

Therefore, the volume of the right triangular pyramid is 13.33 cubic meters.