Presentation is loading. Please wait.

Presentation is loading. Please wait.

Volume & Surface Area of Solids Objective: find the volume & surface area of cylinders, prisms, cones, pyramids and spheres How are volume formulas related.

Similar presentations


Presentation on theme: "Volume & Surface Area of Solids Objective: find the volume & surface area of cylinders, prisms, cones, pyramids and spheres How are volume formulas related."— Presentation transcript:

1 Volume & Surface Area of Solids Objective: find the volume & surface area of cylinders, prisms, cones, pyramids and spheres How are volume formulas related to area formulas?

2  Solid of Revolution: A 3-D figure “swept out” by rotating a 2-D figure around an axis

3 Ex 1) Name the solid that would be created

4 Ex 2) Name the solid that would be created

5 Ex 3) Name the solid that would be created

6 Ex 4) Name the solid that would be created

7  Number of units it takes to fill the object  Number of units it takes to cover the outside of the object  Surface Area not including the “top” and “bottom”

8 Volume, Surface Area, or Lateral Area?  The amount of water a cylindrical glass can hold  The amount of wrapping paper to wrap a box  The amount of water needed to fill a fish tank  The amount of paper wrapped around a soup can  The amount of cardboard used to make a paper towel holder

9 Volume = (Area of Base)(Height)

10

11 1. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: VSA

12 2. Type of solid: ___________________ Height of solid: _________________ Slant height:______________ Shape of base: _________________ Area of base: VSA

13 3. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: Area of each face: VSA

14 4. Type of solid: ____________________ Height of solid: _________________ Shape of base: _________________ Area of base: Perimeter of base:__________________ Slant height: VSA

15 5. Type of solid: _________________ V SA

16 6. Type of solid: _______________________ Height of solid: _________________ Shape of base: _________________ Area of base: V

17  1. A circle has a radius of 15 cm. What is the volume of the sphere made by rotating this circle?

18  2. A rectangle has a length of 3 m and a height of 5 m. What is the volume of the cylinder made by rotating this rectangle?

19  3. An isosceles triangle has base of 20 ft and an altitude of 30 ft. What is the volume of the cone made by rotating this triangle?

20  1. Given a sphere with a radius of 200 cm 3, find the area of the perpendicular cross section right through its center

21  2. Given a cylinder with radius 7 in and height 10 in, find the area of a cross section that is parallel to its base

22  3. Given a cone with a radius of 6 ft and a height of 12 ft, find the area of the triangle formed by a perpendicular cross section down through the cone’s center


Download ppt "Volume & Surface Area of Solids Objective: find the volume & surface area of cylinders, prisms, cones, pyramids and spheres How are volume formulas related."

Similar presentations


Ads by Google