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

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 **

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

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

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

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!!!

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

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

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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