ON TH E GIVEN PYRAMID, HAVE AS THE OB IS 10 cm ,DC is 12 cm. WHAT IS THE VOLUME OF THE PYRAMID?

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

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

First, we need to find the base area of the pyramid. Since we know that DC is 12 cm and OB is 10 cm, we can calculate the base area as follows:

Base Area = (1/2) * DC * OB
Base Area = (1/2) * 12 cm * 10 cm
Base Area = 60 cm^2

Next, we need to find the height of the pyramid. We can use the Pythagorean theorem to find the height:

Height^2 = OB^2 - (1/2 * DC)^2
Height^2 = 10^2 - (1/2 * 12)^2
Height^2 = 100 - 36
Height^2 = 64
Height = 8 cm

Now that we have the base area and height, we can calculate the volume of the pyramid:

Volume = (1/3) * Base Area * Height
Volume = (1/3) * 60 cm^2 * 8 cm
Volume = 160 cm^3

Therefore, the volume of the pyramid is 160 cubic centimeters.

I'm sorry, but the information provided does not include the height of the pyramid, which is necessary to calculate its volume.