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Surface Area and Volume for Pyramids and Cones (11.3/11.5) Surface Area and Volume for Pyramids and Cones (11.3/11.5)

Surface Area and Volume for Pyramids and Cones (11.3/11.5) - PowerPoint Presentation

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Surface Area and Volume for Pyramids and Cones (11.3/11.5) - PPT Presentation

One of your members will answer question 1 the next question 2 etc Answer 5 and 6 as a group What is the base of the pyramid What are the faces of a pyramid What is surface area What is volume How do we find it in general ID: 808028

volume find surface area find volume area surface pyramid cone base height answer question vertex triangle cones pyramids group

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Presentation Transcript

Slide1

Surface Area and Volume for Pyramids and Cones (11.3/11.5)

Slide2

One of your members will answer question 1, the next question 2, etc.

Answer 5 and 6 as a group

What is the base of the pyramid?

What are the faces of a pyramid?

What is surface area?

What is volume? How do we find it in general

?

What is the surface area for the pyramid?

What is the volume for this pyramid?

Slide3

If you unfold a cone and lay it flat, what shapes are you left with?

What is the formula for the area of a triangle?

What is the length of the base of this triangle?

What is the height of

the triangle? What is the surface area of the whole cone?How does the volume of a cone relate to the volume of a cylinder?

One of your members will answer question 1, the next question 2, etc.

Answer 5 and 6 as a group

Slide4

The

altitude

of a pyramid is the distance from the vertex to the base; this is also the

height.

We use this to find the volume

The slant height of a pyramid is the height of each triangular face. We use this to find the Surface Area.In a regular pyramid all the lateral faces are congruent isosceles triangles

Slide5

A

cone

is like a pyramid, but the base is a circle, and so the sides are a deformed cylinder.

The

altitude

of a cone is the length from the vertex to the base. This is also the height. We use this to find the volume.The slant height is the distance from the vertex to any point on the cone’s base. We use this to find the surface area.

Slide6

Slide7

Find the surface area for this pyramid

Slide8

Find the surface area for this pyramid

Slide9

Find the surface area for this pyramid

Slide10

Find the surface area of the cone

Slide11

Find the surface area of the cone

Slide12

Find the surface area of the cone

Slide13

Volume of Pyramids and Cones (11.3/

11.5

)

Slide14

Slide15

Find the volume of the pyramid

Slide16

Find the volume of the pyramid

Slide17

Find the volume of the pyramid

Slide18

Find the volume of the cone

Slide19

Find the volume of the cone

Slide20

Find the volume of the cone

Slide21

Hand in, Pass out

LEFT SIDE RIGHT SIDE

Find the surface area Find the surface area AND

AND volume

of this cone volume of this pyramid

Slide22

Hand Open, Closed, or C

Slide23

Homework

Surface Area and Volume of cones and pyramids worksheet

Math Nation?