Finding the Volume of 3D Shapes

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

Last Class… -We learned how to find the volume of: Cuboids Triangular Prisms Cylinders

Find the volume of each of the following: V = 330 cm3 V = 4710cm3 V = 66cm3 *Use pi=3.14

What is different about this question? ACTIVITY– Find the Volume *Use pi=3.14 What is different about this question? V = 423.115 m3

ACTIVITY– Find the Volume Find the volume given the diameter. Use pi = 3.14 V = 2769.48mm3 V = 25848.48cm3 V = 9420mm3

Some More Practice:

Plenary - Find the Volume of Prisms (C)

LO: To be able to find the Volume of Prisms (C)

LO: To be able to find the Volume of Prisms (C)

V= (Base area × height) ÷ 3 Volume of pyramids Note The height must be the perpendicular height from the base. V= (Base area × height) ÷ 3

Example– Find the Volume V = 192 cm3

ACTIVITY 4– Find the Volume V = 30 cm3 V = 80 cm3 V = 600 cm3 3 Extension: V = 360 feet V = 16.88 ft3 V = 288 unit3

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

Example – Find the Volume *Use pi=3.14 V = 1205.76 cm3

ACTIVITY 5– Find the Volume V = 27.69 cm3 V = 103.62 cm3 V = 2034.72 ft3 Extension: *Use pi=3.14 V = 370.05 units3 V = 850.49 unit3 𝑐 2 = 𝑎 2 + 𝑏 2

Volume of spheres *Use pi=3.14 V= (4× π × r × r × r) ÷ 3

Example – Find the Volume *Use pi=3.14 V = 3052.08 cm3

ACTIVITY 6– Find the Volume V = 3704.09 m3 V = 7234.56 cm3 V = 4186.67 in3 Extension: 3 V = 360 feet *Use pi=3.14 r = 4.41 ft V = 523.33 cm3

Extension: Find the Volume of Chocolate V = 912.69 mm3 *Use pi=3.14

Exit Slip: Find the volumes of the 3D shapes shown: *Hand in when complete* SHOW YOUR WORK!