1. 7th Grade Geometry- Three dimensional shapes
Miss Jones
7th Grade
Geometry- Three dimensional shapes

2. Three Dimensional Shapes!!
Today you will be learning about a variety of three dimensional shapes. These shapes include sphere, cone, cylinder, and rectangular prism. You will learn to recognize the different shapes and also be able to calculate the surface area of each shape.

3. Symbols and Letter Meaning
∏=Pi (3.14) r=Radius l=length or the length of the slant w=width h=height

4. Sphere
A sphere is a solid round figure with every point on it’s surface an equal distance away from it’s center.

5. Sphere
Surface Area(SA) = 4∏r2

6. Cone
A cone is a object that has a circular base and one vertex.

7. Surface Area (SA)=∏r2+ ∏rl
Cone
Surface Area (SA)=∏r2+ ∏rl

8. Cylinder
A Cylinder is an object with two congruent and parallel bases.

9. Surface Area (SA)=2∏r2+2∏rh
Cylinder
Surface Area (SA)=2∏r2+2∏rh

10. Rectangular Prism
A Rectangular Prism is an object with six rectangular faces.

11. Surface Area (SA)=2(wh + lw +lh)
Rectangular Prism
Surface Area (SA)=2(wh + lw +lh)

12. Remember!!
When finding the surface area you will end up with a unit measurement of the unit squared! For example: The surface area of a sphere with a radius of 2 cm will be 50.24cm2

13. Examples
1. Find the surface area of a sphere with a radius of 3 cm. __________________
2. Find the surface area of a cone with a radius of 2cm and a slant length of 3cm.______________
3. Find the surface area of a cylinder with a radius of 3 cm and a height of 4 cm._______________
4. Find the surface area of a rectangular prism with a width of 2 cm, length of 3 cm and a height of 4 cm. ______________________

14. §111. 23. Mathematics, Grade 7. (6) Geometry and spatial reasoning
§ Mathematics, Grade 7. (6) Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. The student is expected to: (A) use angle measurements to classify pairs of angles as complementary or supplementary; (B) use properties to classify triangles and quadrilaterals; (C) use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders. (D) use critical attributes to define similarity.