Volume and Surface Area

Auteur:Averya Andrin, Duane Habecker, Morgan Wilczynski, Mina Karki, Accesscd, GeoGebra Materials Team, Mathguru, Lew W. S., Rachel Turner, Tim Brzezinski, MiaPrep and Miacademy Math - Geometry, Auston B Cron, Heather O'Brien, user17128, kosband

Onderwerp:Meetkunde

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Volume of Prisms and Cylinders

For any rectangular prism you can find Volume with the following formula:

V= volume l = length w = width h = height

For all prisms the volume is V = volume B = Area of the base h = height

BE CAREFUL: The base is not always on the "bottom" of the figure

To find the volume of a cylinder use this formula:

V = volume r = radius h = height

Now attempt questions 1-4 in the flipbook!

Answer this question (You must have completed #1-4)

What is the correct volume of the figure in #1?

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Volume of Pyramids and Cones

For all pyramids the formula for volume is

B = area of the base h = height

For all cones the formula for volume is

r = radius h = height

This video may be helpful in finding missing lengths in any 3D shape

Here is the work for #6

(17 is the slant height)

plug into the formula above h = 15 B = 256

cubic yards

Now attempt questions 5-8 in the flipbook!

Answer this question (You must have completed #5-8)

What is the volume of the cone in #8?

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Surface Area of Prisms and Cylinders

For all rectangular prisms the formula for surface area is

l = length w = width h = height

For all prisms the formula for surface area is

h = height between the bases p = perimeter of the base B = area of the base

For all cylinders the formula for surface area is

r = radius h = height

Now attempt questions 9-12 in the flipbook!

Answer this question (You must have completed #9-12)

What is the surface area of the figure in #11?

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Surface Area of Pyramids and Cones

For all pyramids the formula for surface area is

l = slant height p = perimeter of the base B = area of the base

For all cones the formula for surface area is

r = radius l = slant height

Now attempt questions 13-18 in the flipbook!

Questions #14 and #16 you will need pythagorean theorem again to find the slant height.

Answer this question (You must have completed #13-18)

What is the volume of the cone in #17?

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