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)

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

5 Minute Check Find the area of the polygon. Complete on your homework. 1. (8,2), (8,7), (2,7), (2,2) 6 · 5 = 30u²

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

5 Minute Check Find the area of the polygon. Complete on your homework. 2. (3,2), (-2,2), (-3,-2),(2,-2) 5 · 4 = 20u²

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

5 Minute Check Find the area of the polygon. Complete on your homework. 3. (0,-2), (-2,4), (-4,-2) 4 · 6 ÷ 2 = 12u²

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

5 Minute Check Find the area of the polygon. Complete on your homework. 4. (4,1), (-4,1), (3,-3), (-1,-3) 4(4+8) 2 = 24u²

Chapter 6.10.1/6.10.2 Volume of Rectangular and Triangular Prisms Thursday, March 12 Chapter 6.10.1/6.10.2 Volume of Rectangular and Triangular Prisms

Volume of Rectangular Prisms Objective: To find the volume of rectangular and triangular prisms.

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

Volume of Rectangular Prisms A face is the flat side of any three-dimensional figure . How many faces does this figure have?

Volume of Rectangular Prisms An edge is where two faces meet. How many edges does this figure have?

Volume of Rectangular Prisms A 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 Prisms A prism is a three-dimensional figure with two parallel and congruent polygonal faces. These parallel faces are called bases. What shape are the bases in the figure? How many edges does this shape have?

Volume of Rectangular Prisms The shape of the base determines the name of the prism. This called a triangular prism.

Volume of Rectangular Prisms What would this be called?

Volume of Rectangular Prisms What would this be called? This is a square prism, sometimes called a cube.

Volume of Rectangular Prisms What would this be called?

Volume of Rectangular Prisms What would this be called? Pentagonal Prism

Volume of Rectangular Prisms What would this be called?

Volume of Rectangular Prisms What would this be called? Rectangular prism

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

Volume of Rectangular Prisms A square pyramids has a base of a square.

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

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

Volume of Rectangular Prisms The 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 units³ or in³.

Volume of Rectangular Prisms Decomposing 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 Prisms Another 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 Prisms Find the volume of the rectangular prism. Do this on your own.

Volume of Rectangular Prisms Find the volume of the rectangular prism. V = lwh V = 5 · 5 · 5 V = 125in³

Volume of Rectangular Prisms What is the volume of the aquarium? Do this on your own.

Volume of Rectangular Prisms What is the volume of the aquarium? V = lwh V = 3 · 2 · 2 V = 12ft³

Volume of Rectangular Prisms Find the volume of the rectangular prism. Do this on your own.

Volume of Rectangular Prisms Find the volume of the rectangular prism. V = lwh V = 6 · 4 · 10 V = 240ft³ It does not matter which order the numbers are in, the answer will still be the same.

Volume of Rectangular Prisms If a bedroom is a rectangular prism and has a floor area of130ft², what would the volume be if the height was 8ft? Do this on your own.

Volume of Rectangular Prisms If a bedroom is a rectangular prism and has a floor area of130ft², what would the volume be if the height was 8ft? V = Bh V = 130 · 8 V = 1040 ft³

Volume of Rectangular Prisms Find the volume of the cereal box. Do this on your own.

Volume of Rectangular Prisms Find the volume of the cereal box. V = lwh V = 8 · 12.5 · 3.25 V = 325in³

Volume of Rectangular Prisms The glass container shown is filled with sand to a height of 2 inches. How much sand is in the container? Do this on your own.

Volume of Rectangular Prisms The glass container shown is filled with sand to a height of 2 inches. How much sand is in the container? V = lwh V = 5 · 4.5 · 2 V = 45in³

Volume of Rectangular Prisms The 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 put in the container?

Volume of Rectangular Prisms The glass container shown is filled with sand to a height of 2 inches. How much sand is in the container? V = lwh V = 5 · 4.5 · 3 V = 67.5in³ 67.5in³ - 45in³ = 22.5in³

Volume of Rectangular Prisms The volume of the prism is 960 cm³. Find the missing dimension.

Volume of Rectangular Prisms The volume of the prism is 960 cm³. Find the missing dimension. V = lwh 960 = 20 · 8 · w 960 = 160 · w 960 ÷ 160 = 160 · w ÷ 160 6 cm = w

Volume of Rectangular Prisms Find the missing dimension.

Volume of Rectangular Prisms Find the missing dimension. V = lwh 84 = 4 · 6 · h 84 = 24 · h 84 ÷ 24 = 24 · h ÷ 24 3.5 m = h

Volume of Rectangular Prisms Find the missing dimension.

Volume of Rectangular Prisms Find the missing dimension. V = lwh 109.2 = 5.2 · 7 · w 109.2 = 36.4 · w 109.2 ÷ 36.4 = 36.4 · w ÷ 36.4 3 mm = w

Volume of Triangular Prisms Find the volume of the triangular prism. V = 𝑙𝑤ℎ 2 It’s easiest when the triangular prism is resting on the triangle.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 𝑙𝑤ℎ 2 Remember the length and width of a triangle is connect by a 90˚angle.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 𝑙𝑤ℎ 2 When you have more than 3 measurements, circle the length and width.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 8 ·10· ℎ 2 What is the height?

Volume of Triangular Prisms Find the volume of the triangular prism. V = 8 ·10· ℎ 2 What is the height? If the triangular prism is resting on a triangle, the height will be vertical.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 8 ·10·13 2 The measurement across from the right angle will not be used in finding the volume.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 8 ·10·13 2 V = 1040 2 V = 520m³

Volume of Triangular Prisms Find the volume of the triangular prism. Do this on your own.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 7 ·10 · 8 2 V = 560 2 V = 280yd³

Volume of Triangular Prisms Find the volume of the triangular prism. Do this on your own.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 4 ·3.5 ·7 2 V = 98 2 V = 49m³

Volume of Triangular Prisms Find the volume of the triangular prism. What is the area of the triangle?

Volume of Triangular Prisms Find the volume of the triangular prism. What is the area of the triangle? A = 3.5 ·4 2 A = 3.5 ·2 A = 7

Volume of Triangular Prisms Find the volume of the triangular prism. A = 7 What is the height of the prism?

Volume of Triangular Prisms Find the volume of the triangular prism. A = 7 What is the height of the prism? 7 V = Bh V = 7 · 7 = 49m³

Volume of Triangular Prisms Find the volume of the triangular prism. Do this on your own.

Volume of Triangular Prisms Find the volume of the triangular prism. V = 4 ·10 · 7 2 V = 280 2 V = 140ft³

Volume of Triangular Prisms Find the volume of the triangular prism. A = 10 ·7 2 A = 35 V = Bh V = 35 · 4 = 140ft³

Volume of Triangular Prisms Find the volume of the triangular prism. Round to the nearest tenth if needed. Do this on your own.

Volume of Triangular Prisms Find the volume of the triangular prism. Round to the nearest tenth if needed. V = V = = 104cm³

Volume of Triangular Prisms Find the volume of the triangular prism. Round to the nearest tenth if needed. A = 7.6 ·5.7 2 A = 21.66 V = Bh V = 21.66 · 4.8 = 104cm³

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

Volume of Triangular Prisms Refer to the prism below. If all the dimensions of the prism doubled, would the volume double? Explain. No. The volume of the figure is 3³ or 27 u³. If the dimensions doubled the volume would be 6³ or 216 u³.

Volume of Triangular Prisms Put 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 Prisms Put 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 doesn’t matter which order numbers are multiplied.

Volume of Rectangular Prisms Agenda Notes Homework– Homework Practice 6.10.1/6.10.2 Due Friday, March 13 Chapter 6.9/6.10 Test– Thursday, March 19 If you have school approved scissors, bring them tomorrow.