5 Minute Check Find the area of the polygon. Complete on your homework. (Use your grid) 1. (8,2),...

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5 Minute Check Find the area of the polygon. Complete on your homework. (Use your grid) 1. (8,2), (8,7), (2,7), (2,2) 2. (3,2), (-2,2), (-3,-2),(2,-2) 3. (0,-2), (-2,4), (-4,-2) 4. (4,1), (-4,1), (3,-3), (-1,- 3)

Transcript of 5 Minute Check Find the area of the polygon. Complete on your homework. (Use your grid) 1. (8,2),...

Tuesday, Oct 30

5 Minute CheckFind the area of the polygon. Complete on your homework. (Use your grid)1. (8,2), (8,7), (2,7), (2,2)2. (3,2), (-2,2), (-3,-2),(2,-2)3. (0,-2), (-2,4), (-4,-2) 4. (4,1), (-4,1), (3,-3), (-1,-3)

5 Minute CheckFind the area of the polygon. Complete on your homework.1. (8,2), (8,7), (2,7), (2,2)

5 Minute CheckFind the area of the polygon. Complete on your homework.1. (8,2), (8,7), (2,7), (2,2)

6 5 = 30u

5 Minute CheckFind the area of the polygon. Complete on your homework.2. (3,2), (-2,2), (-3,-2),(2,-2)

5 Minute CheckFind the area of the polygon. Complete on your homework.2. (3,2), (-2,2), (-3,-2),(2,-2)

5 4 = 20u

5 Minute CheckFind the area of the polygon. Complete on your homework.3. (0,-2), (-2,4), (-4,-2)

5 Minute CheckFind the area of the polygon. Complete on your homework.3. (0,-2), (-2,4), (-4,-2)

4 6 2 = 12u

5 Minute CheckFind the area of the polygon. Complete on your homework.4. (4,1), (-4,1), (3,-3), (-1,-3)

5 Minute Check

Thursday, March 12Chapter 6.10.1/6.10.2

Volume of Rectangular and Triangular PrismsVolume of Rectangular PrismsObjective: To find the volume of rectangular and triangular prisms.

Volume of Rectangular PrismsThree-dimensional figures are shapes with length, width and height.

Volume of Rectangular PrismsA face is the flat side of any three-dimensional figure .

How many faces does this figure have?

Volume of Rectangular PrismsAn edge is where two faces meet.

How many edges does this figure have?

Volume of Rectangular PrismsA vertex is a point where at least three faces meet.

How many vertices does this figure have?

How many edges does this shape have?

Volume of Rectangular PrismsA prism is a three-dimensional figure with two parallel and congruent polygonal faces. These parallelfaces are calledbases.

What shape are the bases in the figure?

How many edges does this shape have?

Volume of Rectangular PrismsThe shape of the base determines the name of the prism.

This called a triangular prism.

Volume of Rectangular PrismsWhat would this be called?

Volume of Rectangular PrismsWhat would this be called?

This is a square prism, sometimes called a cube.

Volume of Rectangular PrismsWhat would this be called?

Volume of Rectangular PrismsWhat would this be called?

Pentagonal Prism

Volume of Rectangular PrismsWhat would this be called?

Volume of Rectangular PrismsWhat would this be called?

Rectangular prism

Volume of Rectangular PrismsThere are also figure called pyramids and the base of the pyramid determines the name.

Volume of Rectangular PrismsA square pyramids has a base of a square.

Volume of Rectangular PrismsVolume is the amount of space inside a three- dimensional figure.

Volume of Rectangular PrismsThe volume of a rectangular prism is V = length width height, or V = lwh.

Volume of Rectangular PrismsThe volume is the amount of space inside a three-dimensional figure. It is measured in cubic units, which can be written using abbreviations and an exponent of 3, such as units or in.

Volume of Rectangular PrismsDecomposing the prism tells you the number of cubes of a given size it will take to fill the prism. The volume of the rectangular prism is related to its dimensions; length, width and height.

Volume of Rectangular PrismsAnother method to decompose a rectangular prism is to find the area of the base (B) and multiply it by the height (h).

Volume of Rectangular PrismsFind the volume of the rectangular prism.

Do this on your own.

Volume of Rectangular PrismsFind the volume of the rectangular prism.

V = lwhV = 5 5 5 V = 125in

Volume of Rectangular PrismsWhat is the volume of the aquarium?

Do this on your own.

Volume of Rectangular PrismsWhat is the volume of the aquarium?

V = lwhV = 3 2 2 V = 12ft

Volume of Rectangular PrismsFind the volume of the rectangular prism.

Do this on your own.

Volume of Rectangular PrismsFind the volume of the rectangular prism.

V = lwhV = 6 4 10 V = 240ft

It does not matter which order the numbers are in, the answer will still be the same.

Volume of Rectangular PrismsIf a bedroom is a rectangular prism and has a floor area of130ft, what would the volume be if the height was 8ft?

Do this on your own.

Volume of Rectangular PrismsIf a bedroom is a rectangular prism and has a floor area of130ft, what would the volume be if the height was 8ft?

V = BhV = 130 8V = 1040 ft

Volume of Rectangular PrismsFind the volume of the cereal box.

Do this on your own.

Volume of Rectangular PrismsFind the volume of the cereal box.

V = lwhV = 8 12.5 3.25 V = 325in

Volume of Rectangular PrismsThe glass container shown is filled with sand to a height of 2 inches. How much sand is in the container?

Do this on yourown.

Volume of Rectangular PrismsThe glass container shown is filled with sand to a height of 2 inches. How much sand is in the container?

V = lwhV = 5 4.5 2 V = 45in

Volume of Rectangular PrismsThe glass container shown is filled with sand to a height of 2 inches. How much sand is in the container?

How much more sand can we putin the container?

Volume of Rectangular PrismsThe glass container shown is filled with sand to a height of 2 inches. How much sand is in the container?

V = lwhV = 5 4.5 3V = 67.5in 67.5in - 45in = 22.5in

Volume of Rectangular PrismsThe volume of the prism is 960 cm. Find the missing dimension.

Volume of Rectangular PrismsThe volume of the prism is 960 cm. Find the missing dimension.

V = lwh960 = 20 8 w 960 = 160 w 960 160 = 160 w 1606 cm = w

Volume of Rectangular PrismsFind the missing dimension.

Volume of Rectangular PrismsFind the missing dimension.

V = lwh84 = 4 6 h 84 = 24 h 84 24 = 24 h 243.5 m = h

Volume of Rectangular PrismsFind the missing dimension.

Volume of Rectangular PrismsFind the missing dimension.

V = lwh109.2 = 5.2 7 w 109.2 = 36.4 w 109.2 36.4 = 36.4 w 36.43 mm = w

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism.

Do this on your own.

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism.

Do this on your own.

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism.

What is the area of the triangle?

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism.

A = 7What is the height of the prism?

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism.

Do this on your own.

Volume of Triangular Prisms

Volume of Triangular Prisms

Volume of Triangular PrismsFind the volume of the triangular prism. Round to the nearest tenth if needed.

Do this on your own.

Volume of Triangular PrismsFind the volume of the triangular prism. Round to the nearest tenth if needed. V =

V = = 104cm

Volume of Triangular Prisms

Volume of Triangular PrismsRefer to the prism below. If all the dimensions of the prism doubled, would the volume double? Explain.

Volume of Triangular PrismsRefer to the prism below. If all the dimensions of the prism doubled, would the volume double? Explain.

No. The volume of the figureis 3 or 27 u. If the dimensionsdoubled the volume would be6 or 216 u.

Volume of Triangular PrismsPut your pencil down. Which has a greater volume; a prism with a length of 5.5 in, width of 4.2 in, and height of 10.9 in, or a prism with a length of 10.9 in, width of 5.5 in, and height of 4.2 in. Explain.

Volume of Triangular PrismsPut your pencil down. Which has a greater volume; a prism with a length of 5.5 in, width of 4.2 in, and height of 10.9 in, or a prism with a length of 10.9 in, width of 5.5 in, and height of 4.2 in. Explain.

They are the same, because the measurements are the same and it doesnt matter which order numbers are multiplied.

Volume of Rectangular PrismsAgenda NotesHomework Homework Practice 6.10.1/6.10.2Due Friday, March 13

Chapter 6.9/6.10 TestThursday, March 19 If you have school approved scissors, bring them tomorrow.