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Инфоурок / Математика / Презентации / PRISMS Lateral Area and Total Area of a Prism (11th grade)

PRISMS Lateral Area and Total Area of a Prism (11th grade)

  • Математика
1. PRISMS The two shaded faces of the prism shown are its bases. The bases ar...
The faces of a prism that are not its bases are called lateral faces. The la...
The diagrams below show that a prism is also classified by the shape of its...
Lateral Area and Total Area of a Prism The lateral area (L.A.) of a prism is...
Lateral Area and Total Area of a Prism L.A. = ah+bh+ch+dh+eh 	 = (a+b+c+d+e)h...
home
Lateral Area and Total Area of a Prism The Method applies to any right prism....
Prisms have volume as well as area. A rectangular solid with square faces is...
home
The Volume of a Right Prism The same sort of reasoning is used to find the vo...
Example 1 A right trapezoidal prism is shown. Find the lateral area, total ar...
home
Example 2 home A right triangular prism is shown. The volume is 315. Find the...
home
Example 3 home The container shown has the shape of a rectangular solid. When...
home
Example 4 A right prism has square bases with edges that are three times as l...
The Volume of an Oblique Prism The volume of an oblique prism equals the area...
home
The Volume of an Oblique Prism home Volume = Base Area x Altitude = Right Cro...
Example 5 The oblique square prism shown has base edge 3. A lateral edge that...
home
Example 6
home
Note A diagonal of a right rectangular prism joins two vertices not in the sa...
home
Example 7 home
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Описание презентации по отдельным слайдам:

№ слайда 1 1. PRISMS The two shaded faces of the prism shown are its bases. The bases ar
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1. PRISMS The two shaded faces of the prism shown are its bases. The bases are congruent polygons lying in parallel planes.

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№ слайда 3 The faces of a prism that are not its bases are called lateral faces. The la
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The faces of a prism that are not its bases are called lateral faces. The lateral faces of a prism are parallelograms. If they are rectangles, the prism is a right prism. Otherwise the prism is an oblique prism. home

№ слайда 4 The diagrams below show that a prism is also classified by the shape of its
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The diagrams below show that a prism is also classified by the shape of its bases. home

№ слайда 5 Lateral Area and Total Area of a Prism The lateral area (L.A.) of a prism is
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Lateral Area and Total Area of a Prism The lateral area (L.A.) of a prism is the sum of the areas of its lateral faces. The total area (T.A.) is the sum of the areas of all its faces.

№ слайда 6 Lateral Area and Total Area of a Prism L.A. = ah+bh+ch+dh+eh 	 = (a+b+c+d+e)h
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Lateral Area and Total Area of a Prism L.A. = ah+bh+ch+dh+eh = (a+b+c+d+e)h = perimeter • h = ph The right pentagonal prism can be used to illustrate the development of the lateral area formula: home

№ слайда 7 home
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home

№ слайда 8 Lateral Area and Total Area of a Prism The Method applies to any right prism.
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Lateral Area and Total Area of a Prism The Method applies to any right prism. The lateral area equals the perimeter of a base times the height of the prism. (L.A. = ph) home

№ слайда 9 Prisms have volume as well as area. A rectangular solid with square faces is
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Prisms have volume as well as area. A rectangular solid with square faces is a cube. Since each edge of the blue cube shown is 1 unit long, the cube is said to have a volume of 1 cubic unit. The larger rectangular solid has 3 layers of cubes, each layer containing (4•2) cubes. Hence its volume is (4•2)•3, or 24 cubic units. home Volume = Base area x height

№ слайда 10 home
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home

№ слайда 11 The Volume of a Right Prism The same sort of reasoning is used to find the vo
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The Volume of a Right Prism The same sort of reasoning is used to find the volume of any right prism. The volume of a right prism equals the area of a base times the height of the prism. (V = Bh) home

№ слайда 12 Example 1 A right trapezoidal prism is shown. Find the lateral area, total ar
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Example 1 A right trapezoidal prism is shown. Find the lateral area, total area, volume. home

№ слайда 13 home
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home

№ слайда 14 Example 2 home A right triangular prism is shown. The volume is 315. Find the
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Example 2 home A right triangular prism is shown. The volume is 315. Find the total area.

№ слайда 15 home
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home

№ слайда 16 Example 3 home The container shown has the shape of a rectangular solid. When
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Example 3 home The container shown has the shape of a rectangular solid. When a rock is submerged, the water level rises 0.5 cm. Find the volume of the rock.

№ слайда 17 home
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home

№ слайда 18 Example 4 A right prism has square bases with edges that are three times as l
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Example 4 A right prism has square bases with edges that are three times as long as the lateral edges. The prism's total area is 750 m2. Find the volume.

№ слайда 19 The Volume of an Oblique Prism The volume of an oblique prism equals the area
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The Volume of an Oblique Prism The volume of an oblique prism equals the area of a base times the height of the prism or right cross-section area times the length of the lateral edge.

№ слайда 20 home
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home

№ слайда 21 The Volume of an Oblique Prism home Volume = Base Area x Altitude = Right Cro
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The Volume of an Oblique Prism home Volume = Base Area x Altitude = Right Cross-section Area x Length of lateral edge

№ слайда 22 Example 5 The oblique square prism shown has base edge 3. A lateral edge that
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Example 5 The oblique square prism shown has base edge 3. A lateral edge that is 15 makes a 60° angle with the plane containing the base. Find the exact volume.

№ слайда 23 home
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home

№ слайда 24 Example 6
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Example 6

№ слайда 25 home
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home

№ слайда 26 Note A diagonal of a right rectangular prism joins two vertices not in the sa
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Note A diagonal of a right rectangular prism joins two vertices not in the same face. The length of the diagonals is

№ слайда 27 home
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home

№ слайда 28 Example 7 home
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Example 7 home

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Дата добавления 30.01.2016
Раздел Математика
Подраздел Презентации
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