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Surface Area and Volume Lesson Intentions Recap on Surface Area and Volume.

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Presentation on theme: "Surface Area and Volume Lesson Intentions Recap on Surface Area and Volume."— Presentation transcript:

1 Surface Area and Volume Lesson Intentions Recap on Surface Area and Volume

2 Surface Area and Volume Which of the following units do we use to measure…. a) Area ml km 2 cm 3 cm 2 mm 2 m2m2 m3m3 cm litres b) Volume ** Always show your units at the end of your answer **

3 Surface Area and Volume Convert each weight to Kilograms : 2000g =2Kg7000g =7Kg12250g =12.250Kg Convert each weight to grams : 9.3 Kg =9300g6.458Kg =6458g2.43Kg =2430g Remember – Converting Kilograms to grams ……. …. Multiply by 1000 Remember – Converting grams to Kilograms ……. ….Divide by 1000

4 Surface Area and Volume Volume of a Cuboid To calculate the Volume of a cuboid, the formula we use is …… Volume = Length X Breadth Breadth X Height Height

5 Surface Area and Volume Volume of a Cuboid Calculate the volume of this Cuboid…….. 12cm 4cm 2cm

6 Surface Area and Volume Volume of a Cube To calculate the Volume of a cube, the formula we use is …… Volume = LengthX BreadthX Height Length Breadth Height Remember … All sides have the same length on a cube!!!

7 Surface Area and Volume Volume of a Cuboid Calculate the volume of this Cube…….. 6cm

8 Surface Area and Volume Surface Area What is Surface Area?? ….. The total area of all the sides

9 Surface Area and Volume How many sides do each of the following Shapes have?

10 Surface Area and Volume Surface Area of A Cuboid To calculate the surface area of any cuboid the formula we use is………. Surface Area =Area of Front +Area of Back +Area of Top +Area of Bottom + Area of Side +Area of Side OR Surface Area = 2 x (Area of Front + Area of Side + Area of Top)

11 Surface Area of a Cuboid Surface Area and Volume Calculate the surface area of the following Cuboid…….. 10mm 5mm 4mm

12 Surface Area and Volume Volume of a Prism What is a prism? A prism is an object that when cut has the same cross section throughout

13 Surface Area and Volume Volume of a Prism To calculate the volume of any prism the formula is……… Volume =Area xHeight Where area is the area of the face of the prism…. …..and height is the height of the prism

14 Surface Area and Volume Volume of a Prism Calculate the area of the following Prism 25cm 2 10cm

15 Surface Area and Volume Volume of a Triangular Prism We often have to work out the area of a cross-section before we can calculate the volume…. Step 1. Calculate the area of the face Area of Triangle = 1 2 breadth xheight of triangle Height of triangle Breadth of triangle Step 2.Calculate the volume of prism Volume = Area xHeight of Prism

16 Surface Area and Volume Volume of a Triangular Prism Calculate the volume of this Prism 10cm 2cm 3cm

17 Surface Area and Volume Surface Area of a Triangular Prism A Triangular Prism has two identical triangles and 3 rectangles A Triangular prism has how many faces? The formula to calculate the surface area of a triangular prism is Surface Area =(2 x area of triangle) +areas of 3 rectangular faces

18 Surface Area and Volume Surface Area of a Triangular Prism Calculate the surface area of the triangular prism cm 10cm 5cm

19 Surface Area and Volume Volume of a Cylinder A Cylinder is a circular prism, therefore its volume can be found by using the same formula for all prisms Volume =Area xheight Since the cross section is a circle the formula reads Volume = Π r 2 xheight radius r

20 Surface Area and Volume Volume of a Cylinder Calculate the volume of this cylinder cm 5cm

21 Surface Area and Volume Surface Area of a Cylinder A cylinder is made up of 2 basic shapes Circle Rectangle

22 Surface Area and Volume Surface Area of a Cylinder To calculate the surface area of a cylinder we need to calculate 2 parts.... Area of top and bottom circles =2 x π x r 2 + Area of rectangle =2 x π x r x height Total Surface area = 2πr 2 + 2πrh radius

23 Surface Area and Volume Surface Area of a Cylinder 8cm 5cm Calculate the total surface area of this cylinder


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