Surface Area and Volume of Prisms part 1

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Surface Area and Volume of Prisms part 1

Surface Area and Volume of Prisms part 1

Lateral Surfaces the surfaces that make up the - parts of the shape between

Lateral Surfaces the surfaces that make up the - parts of the shape between the bases.

Cylinder = base shape: circle. lateral shape: rectangle. Prism = base shape: depends on

Cylinder = base shape: circle. lateral shape: rectangle. Prism = base shape: depends on name. lateral shape: rectangles. Pyramid = base shape: depends on name. lateral shape: triangles.

Lateral Area of a Prism The lateral area of a prism is the sum

Lateral Area of a Prism The lateral area of a prism is the sum of the areas of the lateral faces. Lateral Face—a lateral face of a prism is a face that joins the bases of the prism The lateral area of the prism is the total area of its lateral faces.

1 Find the surface area of each rectangular prism.

1 Find the surface area of each rectangular prism.

2 Find the surface area of each rectangular prism.

2 Find the surface area of each rectangular prism.

3 Ms. Adventure went on a trip around the world. In the Netherlands, she

3 Ms. Adventure went on a trip around the world. In the Netherlands, she tasted Dutch cheese. The piece of cheese has the shape of a triangular prism. How much surface area is there for mold to grow on?

4 What is the surface area of the triangular prism?

4 What is the surface area of the triangular prism?

Part 3 Example 1 When a base of a prism is a regular polygon,

Part 3 Example 1 When a base of a prism is a regular polygon, you can decompose the polygon to find its area. You can decompose a regular hexagon into 6 equilateral triangles. The 6 triangles are the same size. After you find the area of 1 triangle, you can multiply the area by 6 to find the area of the entire hexagon.

5 Ms. Adventure wants to make a box like one she saw in Japan.

5 Ms. Adventure wants to make a box like one she saw in Japan. She plans to cover the box with paper. The box has the shape of a regular hexagonal prism. To the nearest square inch, how much paper does Ms. Adventure need to cover the box?

6 To the nearest square inch, what is the surface area of the regular

6 To the nearest square inch, what is the surface area of the regular hexagonal prism?

Homework: Surface Area of Prisms Worksheet

Homework: Surface Area of Prisms Worksheet

Volume of a Prism The formula for the volume of a prism equals the

Volume of a Prism The formula for the volume of a prism equals the area of the base times the height. Or, V = Bh Area of the base x height = (length x width) x height

Find the Volume of the Prism. V = area of base · height V

Find the Volume of the Prism. V = area of base · height V = Bh V = (9) (2) (3) V = 54 ft³

Find the Volume of the Prism. V = side length cubed V = s³

Find the Volume of the Prism. V = side length cubed V = s³ V = (3) (3) V = 27 ft³

Find the Volume of the Prism. 7

Find the Volume of the Prism. 7

Find the Volume of each Prism. What is the volume of a cube with

Find the Volume of each Prism. What is the volume of a cube with edge length ¾ ft. ? V = side length cubed V = s³ V = ( 3/4 ) V = 27/64 ft³

Find the Volume the Prism. 8

Find the Volume the Prism. 8

Find the Volume of each Prism. 9

Find the Volume of each Prism. 9

Find the Volume of the Prism Ms. Adventure’s Japanese box has the shape of

Find the Volume of the Prism Ms. Adventure’s Japanese box has the shape of a regular hexagonal prism. To the nearest cubic inch, what is the amount of space inside the box? 10

Find the Volume of the Prism 11

Find the Volume of the Prism 11

HW: Volume of Prisms Worksheet

HW: Volume of Prisms Worksheet

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Surface Area and Volume Surface Area of PrismsSurface Area and Volume Surface Area of Prisms
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Geometry Surface Area of Triangular Prisms Surface AreaGeometry Surface Area of Triangular Prisms Surface Area
Geometry Surface Area of Rectangular Prisms Surface AreaGeometry Surface Area of Rectangular Prisms Surface Area
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Volume of Prisms Cylinders Exploring Volume The volumeVolume of Prisms Cylinders Exploring Volume The volume
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Surface Area And Volume Of Prisms Investigation 2Surface Area And Volume Of Prisms Investigation 2
Surface Area And Volume Of Prisms Investigation 4Surface Area And Volume Of Prisms Investigation 4
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VOLUME OF SOLIDS VOLUME OF PRISMS V AreaVOLUME OF SOLIDS VOLUME OF PRISMS V Area
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Surface Area and Volume Day 1 Surface AreaSurface Area and Volume Day 1 Surface Area
Surface Area and Volume Day 1 Surface AreaSurface Area and Volume Day 1 Surface Area
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Surface Area and Volume Day 1 Surface AreaSurface Area and Volume Day 1 Surface Area
Volume of Rectangular Prisms Right Prisms A rightVolume of Rectangular Prisms Right Prisms A right