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Vocabulary plus basic surface area and volume

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1 Vocabulary plus basic surface area and volume
Solids intro Vocabulary plus basic surface area and volume

2 Warm-up With your table group:
Sketch and describe the following shapes: Prism, pyramid, cone, cylinder, sphere

3 Shape vocabulary Solids: any 3 dimensional shape
3D- short for 3 dimensional A 3D shape can be measured in 3 directions Left-right Up-down Front-back These directions may be described with words like length, width, height, base, etc.

4 prisms What is a prism? A prism is a solid that has two faces that are parallel and congruent. These are called the bases of the prism. If you take any cross section of a prism parallel to those bases by making a cut through it parallel to the bases, the cross section will look just like the bases. Naming Prisms are named for the shape of the base.

5

6 cylinders Definition: cylinders are round prisms. They follow the same rules and format: The bases are congruent, and parallel circles The sides would unroll into a single rectangle

7 Pyramids and cones Pyramids:
The base of a pyramid can be any polygon. The sides of a pyramid are always triangles. The number of sides is equal to the number of sides of the polygon that is the base. Cone: a cone follows the same format as a pyramid. Think of it as a round pyramid. The base is a circle, instead of a polygon.

8 Sphere

9 Solids vocabulary 1.) What does Volume measure? 2.) What does surface area measure?

10 Examples

11 Answers

12 Day two starts here

13 How do we Find the Surface Area?
Rectangular Prism: What would the formula be? 𝑆.𝐴. =2(𝐿𝑊+𝐿𝐻+𝑊𝐻)

14 How do we Find the Surface Area?
Triangular Prism: What would the formula be? 𝑆.𝐴. =𝐴𝑑𝑑 𝑢𝑝 𝑎𝑙𝑙 5 𝑓𝑎𝑐𝑒𝑠 Make the net or draw the faces separately

15 How do we Find the Surface Area?
Cylinder: What would the formula be? Is it possible to add all of the faces? 𝑆.𝐴. =2𝜋 𝑟 2 +2𝜋𝑟ℎ

16 Warm - Up

17 Square/Rectangular Based Pyramid
Talk with your partner about how you would find the surface area and the volume 𝑆.𝐴. =𝐿∙𝑆+𝑊∙𝑆+𝑊∙𝑆 𝑉= 𝐿∙𝑊 3 ∙𝐻


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