Find the volume of this triangular pyramid to the nearest millimeters

Answer 1

To find the volume of a triangular pyramid, you can use the formula:

V = (1/3) * Base Area * Height

First, we need to find the base area of the triangular pyramid. Since the base is a triangle, we can calculate its area using the formula for the area of a triangle:

Base Area = (1/2) * base * height

The base of the triangle is given as 8 cm and the height is given as 6 cm. So, the base area is:

Base Area = (1/2) * 8 cm * 6 cm
Base Area = 24 square cm

Next, we need to find the height of the triangular pyramid, which is given as 10 cm.

Now, we can plug these values into the formula for the volume of a triangular pyramid:

V = (1/3) * 24 square cm * 10 cm
V = (1/3) * 240 cubic cm
V = 80 cubic cm

Therefore, the volume of the triangular pyramid is 80 cubic cm, which is equivalent to 80,000 cubic mm (since 1 cm^3 = 1,000 mm^3).