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pd5 12.5 April 13, 2016 12.5 volume of cones and pyramids https://www.youtube.com/watch?v=xZyxO8hXj08 If a square-based prism and a square-based pyramid have the same height, and the same base area, how do their volumes compare?

12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

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Page 1: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

12.5 volume of cones and pyramids

https://www.youtube.com/watch?v=xZyxO8hXj08

If a square-based prism and a square-based pyramid have the same height, and the same base area, how do their volumes compare?

Page 2: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

V(pyramid) = 1/3 BASE AREA times height

the base edge is 20 and the slant height is 26, find the volume of the square pyramid

the base is a right triangle with lengths 7, 24, 25. The altitude of the pyramid is 30. Find the volume.

Page 3: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

h= 19. The base edge is 8. Find the

volume and the surface area. (round to

nearest hundredth)

The area of one lateral face of the regular hexogonal pyramid is 24 3

The base edge is 4. Find the volume and the surface area of the pyramid in

exact form.

Page 4: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

If a cylinder and a cone have the same base area and the same height, how do their

volumes compare?

Page 5: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

60 degreesradius is 10 . Find the volume and the surface area.

Suppose you roll the figure into a cone. If the open angle is 135 degrees and the length

marked x is 12, What would the volume and surface area be?

x

1350

Page 6: 12.5 volume of cones and pyramids - Barrington …...pd5 12.5 April 13, 2016 V(pyramid) = 1/3 BASE AREA times height the base edge is 20 and the slant height is 26, find the volume

pd5 12.5 April 13, 2016

what is the volume of the frustum pictured if the bottom

base has radius 9 and the top base has area 16 pi

36 what is the surface area of the frustum?