To be able to calculate the surface area of cubes and cuboids

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Presentation transcript:

To be able to calculate the surface area of cubes and cuboids Learning Intentions: To be able to calculate the surface area of cubes and cuboids

Starter Calculate the area of the shapes below! 3cm 4mm 4mm 6cm Area = 16mm2 Area = 18cm2 6cm 7m 6m 6cm Area = 18cm2 Area = 21m2

Surface Area If I unfolded a cube what would it look like? Draw what you think it looks like on your mini-white boards.

NETS OF CUBES There are eleven different ways of sketching the nets of cubes. Most Common 4

What types of shapes make up the faces of a cubes? Surface Area What types of shapes make up the faces of a cubes? 3 x 3 x 6 = 54cm2 3 cm 3 cm

Surface Area 5 cm 7 cm 5 cm 7 cm Surface Area = 150cm2

Cuboids Total Surface Area = 220cm2 10 cm 5 cm 4 cm 4 cm 10 cm 5 cm

What about other 3D shapes? Triangular Prism Square based pyramid

Surface Area Work out the surface area of the shapes on your worksheet. Area of rectangle = Length (L) x Height (H) H H B Area of Triangle = (Base (B) x Height (H)) ÷ 2 L

Answers Green: 1. 216cm2 2. 384mm2 3. 1350m2 Amber: 1. 62m2 2. 64cm2 3. 154m2 Red 1. 144cm2 2. 616m2 3. 268cm2

Surface Area Investigation: PART ONE Find out the total surface area of all four walls in this classroom. PART TWO Calculate how many tins of paint will be needed Each tin of paint covers exactly 12m2 PART THREE Each tin of paint costs £11 How much will it cost to paint this entire room

Answers Part One: Total Surface Area to painted: 55m2 Part Two: Total Number of Paint Cans Needed: 5 Part Three: Cost: £55

Surface Area 8 cm 5 cm 12 cm Total Surface Area = 392cm2

New Toblerone Toblerone are making a new family sized bar: Each piece will have the following dimensions The bar will consist of 12 equal pieces. QUESTION: What will the total surface area of the wrapper need to be? 4cm 1cm 4cm