**VOLUMES OF SOLIDS VIDEO**
1) What is the standard unit of measurement used to calculate volume? (cubes)
**Cubic Units unit**^{3}
2) How is the volume of a rectangular right prism, a box, calculated? What is the formula used?
**We 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?
**V= Area X height**
**= 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 ∏r**^{2 }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 ∏r**^{3} |