the volume of a cube is one hundred forty-four cubic meters. What is the volume of the square based pyramid with the same side length and height?

sixteen cubic meters

forty-eight cubic meters

four hundred thirty-two cubic meters

one thousand two hundred ninety-six cubic meters

Question

the volume of a cube is one hundred forty-four cubic meters. What is the volume of the square based pyramid with the same side length and height?

sixteen cubic meters

forty-eight cubic meters

four hundred thirty-two cubic meters

one thousand two hundred ninety-six cubic meters

ddcamp · Answer

V(cube) = Base Area * height
V(pyramid) = (1/3) * Base Area * height

If base area and height are the same, the pyramid's volume is a third of the spheres.

anonymous · Answer

so what should i do to find that formula.

ddcamp · Answer

That's just the formula for the volume of a pyramid. I know it doesn't really seem intuitive, but you just have to accept it until you prove it in Calc II.

anonymous · Answer

can you just give me the answer sorry im trying to review for a test and these are my review questions and the lesson did not explain any of it.

ddcamp · Answer

V = (1/3) * 144
V = 48