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Topic Area and volumes of plane figures Area and volumes of solid figures

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Learning outcomes Students will be able to understand the method of finding areas of figures like: Trapezium Regular pentagon Cube cylinder

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**They will be able to find the volume and surface area of :**

Cuboids/cube Cylinder Apply the concepts in daily life mathematical problems.

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**Previous knowledge Square: side x side Rectangle : length x breadth**

Triangle : ½ base x height or altitude Circle ∏r2 where r is the radius

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**Area of some special figures**

Trapezium A trapezium has one pair of opposite side parallel A B AB is parallel to BD h C D Area=1/2h(sum of parallel sides)

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**Area of regular hexagon**

We can find of hexagon in different ways

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method1 This hexagon can be divided into two trapezium

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Method 2 The hexagon is divided into two triangles and one rectangle

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**Surface area of a cylinder**

Let us roll a rectangular sheet of paper 2 ∏r h

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**We see that the length of the sheet will be the circumference of the circle**

And the height of the cylinder is the breadth of the sheet. Area of the sheet = l x b which is same as : Area of the cylinder 2 ∏r x h

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**Volume : it s the space occupied by an object:**

Volume of a cuboid= lx b x h Volume of a cylinder = ∏r2 h

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**The unit of measurement of area is square units e g cm2 m2 etc**

The unit of measurement of volume is cubic units e g cm3 m3 or if we are measuring liquids it will be ml litres.

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**What is the difference between capacity and volume?**

What is the relation between the units cm3 and ml A rectangular sheet 11cm x 4 cm is folded to make a cylinder of height 4cm .Find the volume of the cylinder so formed.

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**Assignment Find the area of the given figures**

4cm A regular hexagon having side 5cm 11cm

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DC =11cm 3.5cm D C 2.5cm

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**Find the area of the each green region separately**

20cm 16 28cm 24cm

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