a prism is a solid three-dimensional...2018/08/14 · •a prism is a solid three-dimensional shape...
TRANSCRIPT
• A prism is a solid three-dimensionalshape with two congruent , parallel polygon bases.• In a right prism all other facesare rectangles.
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18.1: Volume of Prisms and Cylinders
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𝑽 = 𝟔𝟎 𝒇𝒕 𝟏𝟐𝟎 𝒇𝒕 𝟖 𝒇𝒕
𝑽 = 𝟓𝟕, 𝟔𝟎𝟎 𝒇𝒕𝟑
𝟏 𝒈𝒂𝒍𝒍𝒐𝒏
𝟎.𝟏𝟑𝟒 𝒇𝒕𝟑=𝒙 𝒈𝒂𝒍𝒍𝒐𝒏𝒔
𝟓𝟕,𝟔𝟎𝟎𝒇𝒕𝟑
𝟏 𝒈𝒂𝒍𝒍𝒐𝒏
𝟖. 𝟑𝟑 𝒑𝒐𝒖𝒏𝒅𝒔=𝟒𝟐𝟗, 𝟖𝟓𝟏 𝒈𝒂𝒍𝒍𝒐𝒏𝒔
𝒙 𝒑𝒐𝒖𝒏𝒅𝒔
𝒙 ≈ 𝟑, 𝟓𝟖𝟎, 𝟔𝟓𝟗 𝒑𝒐𝒖𝒏𝒅𝒔
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𝑽 = 𝑩𝒉
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Page 928 Cavalieri’s Principle
How do you find the volume (V) of a cylinder?
B
1st
Find the area of the base “𝐵” using 𝑟2 .
𝑽 = 𝑩𝒉
2nd
Multiply the area of the base by the height “ℎ”.
𝑽 = 𝝅𝒓𝟐𝒉
Reflect: # 8 Page 931
Vcylinder = B h
Vcylinder = 𝝅𝒓𝟐h
A pyramid is a solid three-dimensional shape with:• a polygon base and• Triangular faces that taper
to a point, also called the vertex or apex.
18.2: Volume of PyramidsPage 937
Slant height of a regular pyramid – the distance from the vertex of a regular pyramid to the midpoint of an edge of the base.
How do you find the volume (V) of a pyramid?
1st
Find the area of the base “𝐵”
using the area formula
appropriate to the shape of the base.
2nd
Find the height and multiply 1
3
of the base by the height “ℎ”.
𝑽 =𝟏
𝟑𝑩𝒉
𝑽 =𝟏
𝟑𝑩𝒉
𝑽 =𝟏
𝟑𝑩𝒉
Exercise 8, page 942
Not in your book
Not in your book