Volume of Pyramids Assignment and Quiz (4pages)

Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid? The height of each pyramid is 1/2h units. The area of the base of the cube, B, is __________________ square units. The volume of the cube is __________________ cubic units. The height of each pyramid, h, is __________________. Therefore, b = 2h. There are _______ square pyramids with the same base and height that exactly fill the given cube. Therefore, the volume of one pyramid is __________________ or 1/3Bh. (b)(b) (b)(b)(b) b/2 6 (1/6)(b)(b)(2h) The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m. The area of the base is __________________ m2. The volume is __________________ m3. 52900 2645000 If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume? The areas of the bases must be the same. Kabir wants to know the volume of a solid right pyramid with a square base. He uses a ruler to measure the length of the base as 8 inches. He then measures the slant height to be 5 inches. The hypotenuse of the right triangle used to determine the height is ___ inches