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Finding the Volume of 3D Shapes
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How many 3D shapes can you name?
Warm Up: How many 3D shapes can you name? Cone Hexagonal prism Sphere Cube Cuboid Cone Cylinder Square based pyramid Triangular based pyramid Triangular prism Hexagonal prism Cube Triangular based pyramid 1 2 3 4 5 Cuboid Triangular prism Sphere Cylinder 6 7 8 9 Square based pyramid
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Last Class… -We learned how to find the volume of: Cuboids Triangular Prisms Cylinders
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Find the volume of each of the following:
V = 330 cm3 V = 4710cm3 V = 66cm3 *Use pi=3.14
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What is different about this question?
ACTIVITY– Find the Volume *Use pi=3.14 What is different about this question? V = m3
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ACTIVITY– Find the Volume
Find the volume given the diameter. Use pi = 3.14 V = mm3 V = cm3 V = 9420mm3
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Some More Practice:
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Plenary - Find the Volume of Prisms (C)
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LO: To be able to find the Volume of Prisms (C)
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LO: To be able to find the Volume of Prisms (C)
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V= (Base area × height) ÷ 3
Volume of pyramids Note The height must be the perpendicular height from the base. V= (Base area × height) ÷ 3
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Example– Find the Volume
V = 192 cm3
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ACTIVITY 4– Find the Volume
V = 30 cm3 V = 80 cm3 V = 600 cm3 3 Extension: V = 360 feet V = ft3 V = 288 unit3
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Volume of cones V= (π × r × r× height) ÷ 3 *Use pi=3.14 Note
The height must be the perpendicular height from the base. *Use pi=3.14 V= (π × r × r× height) ÷ 3
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Example – Find the Volume
*Use pi=3.14 V = cm3
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ACTIVITY 5– Find the Volume
V = cm3 V = cm3 V = ft3 Extension: *Use pi=3.14 V = units3 V = unit3 𝑐 2 = 𝑎 2 + 𝑏 2
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Volume of spheres *Use pi=3.14 V= (4× π × r × r × r) ÷ 3
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Example – Find the Volume
*Use pi=3.14 V = cm3
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ACTIVITY 6– Find the Volume
V = m3 V = cm3 V = in3 Extension: 3 V = 360 feet *Use pi=3.14 r = 4.41 ft V = cm3
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Extension: Find the Volume of Chocolate
V = mm3 *Use pi=3.14
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Exit Slip: Find the volumes of the 3D shapes shown:
*Hand in when complete* SHOW YOUR WORK!
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