# Volumes of solids video

 VOLUMES OF SOLIDS VIDEO 1) What is the standard unit of measurement used to calculate volume? (cubes) Cubic Units unit3 2) How is the volume of a rectangular right prism, a box, calculated? What is the formula used? W e measure how many standard cubes can fit into the rectangular prism. V= (length) (width) (height) 3) What was the formula used to find the volume of a triangular right prism, the tent? What measurements were needed? = A x h A= Area of the end face Height = length/height of the prism The measurements you need to find the volume of a triangular right prism are the base of the tent and the length of the tent. 4) What was the formula used to find the volume of circular right prism or cylinder found in the tent? What two measurements were needed to find its volume? V= Area X height = A x h A = Area of the circular end face h = length/height of the cylinder The two measurements that were needed to find the volume of the cylinder are diameter/radius and the height of the cylinder. 5) What is the volume ratio of any size of pyramid and a rectangular right prism, when both have the same base area and height? How would you express that in an equation? The volume ratio of any size pyramid and a rectangular right prism, when both have the same base area and height is 3:1. A pyramid has 1/3 the volume of a rectangular right prism with the same base and height measurements. V = 1/3 Area x height = 1/3 A x h A = Area of the end face (base of pyramid) h = Height of Pyramid 6) What is the volume ratio of any size of cone and cylinder, when both have the same base area and height? How would you express that in an equation? The volume ratio of any size of cone and cylinder, when both have the same base area and height is 3:1. A cone has 1/3 the volume of a cylinder with the same base and height measurements. V = 1/3 Area x height = 1/3 A x h = 1/3 x ∏r2 x h A = Area of the end face (base of cone) h = Height of cone 7) What single measurement is needed to find the volume of a sphere? What formula is used? The single measurement that is needed to find the volume of a sphere is the radius. V= 4/3 x ∏r3Share with your friends: