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Prisms

Prisms. Aim: - Know how to find the volume of any prism - Know how to find the surface area of any prism. What is a prism?. A prism is a 3-D shape that has the same 2-D shape running all the way through it. This 2-D shape is called the cross-section of the prism.

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Prisms

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  1. Prisms Aim: - Know how to find the volumeof any prism - Know how to find the surface area of any prism

  2. What is a prism? • A prism is a 3-D shape that has the same 2-D shape running all the way through it. • This 2-D shape is called the cross-section of the prism

  3. Real-life examples of prisms

  4. Volume of prisms The volume of a prism is: (Area of front) × (length) This is the length! This is the front!

  5. Step 1: Find the area of the shape at the front Area of front = 3 x 2 = 6 cm2 Step 2: Multiply area by the length of the prism Volume = Area x length = 6 x 10 = 60 cm3 10 cm 2 cm 3 cm

  6. Can you calculate the volume of this prism? 4mm 8mm 5mm Answer: Volume = 80 mm2

  7. Can you calculate the volume of this prism? 2 cm 3 cm 4 cm 6 cm Answer: Volume = 48 cm2

  8. Finding the surface area • Surface area is the total area of all surfaces of a shape • We just find the area of all the surfaces and then add them together

  9. Area = 10 x 2 = 20 cm2 Area = 3 x 10 = 30 cm2 Area = 2 x 3 = 6 cm2 Finding the surface area 10 cm 2 cm 3 cm Total Area = (20 x 2) + (30 x 2) + (6 x 2) = 112 cm2

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