This pdf discusses finding the surface area of triangular prisms and cylinders step by step to get through the basics with examples.
1. 18. Tuesday 16th June: Surface area of triangular prisms and cylinders 8X1 – Summer Term 2 Today’s lesson is about calculating the surface area of rectilinear shapes. I have split the lesson into two parts: Part 1: Surface area of triangular prisms Part 2: Surface area of cylinders Homework: 1 task on mathswatch Answers are at the end of the document. Part 1 – Surface area of triangular prisms Surface area of a triangular prism: EG 1: Find the surface area of a triangular prism
2. Find the surface area of each of the following trianglular prisms
3. Part 2 – Surface area of cylinders Two videos to watch to help understanding: Surface area of cylinders: EG 2: Find the surface area of the cylinder Surface Area Area of top: 𝝅 × 𝟑𝟐 = 𝟗𝝅 Area of base: 𝟗𝝅 Area of curved surface area: circumference of the circle × height: 𝟔 × 𝝅 × 𝟏𝟎 = 𝟔𝟎𝝅 Total = 𝟔𝟎𝝅 + 𝟗 𝝅 + 𝟗𝝅 = 𝟕𝟖𝝅 EG 3: Working backwards, given the surface area 𝜋 × 32 + 𝜋 × 32 + (2 × 3 × 𝜋 × ℎ) = 84𝜋 18𝜋 + 6𝜋ℎ = 84𝜋 6𝜋ℎ = 66𝜋 6ℎ = 66 ℎ = 11
4. Question 1 Question 2 Calculate the surface area to 2dp Calculate the surface area to 2dp Question 3 Question 4 Calculate the surface area to 2dp Calculate the surface area in terms of 𝜋 Question 5 Question 6 Calculate the surface area in terms of 𝜋 Calculate the height Question 7 Question 8 Calculate the height Calculate the height to 2 dp Now complete the mathswatch
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