Volumes And Surface Area

Volumes and surface area,[object Object],BTEOTSSBAT solve problems involving volume and surface area,[object Object]

Key words,[object Object],volume,[object Object],cross section,[object Object],prism,[object Object],cube,[object Object],cuboid,[object Object],cylinder,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object],x 100,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object],x 100,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object],x 100,[object Object], = 5000 cm x cm x m,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object],x 100,[object Object], = 5000 cm x cm x m,[object Object],x 100,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object],x 100,[object Object], = 5000 cm x cm x m,[object Object],x 100,[object Object],= 500 000 cm x cm x cm = cm³,[object Object]

Volume is the amount of space a solid object takes up. ,[object Object],The units are mm³, cm³, m³, km³ and so on,[object Object],Convert m³ into cm³,[object Object],A box has a volume of 0.5 m³.,[object Object],It needs to fit into a bag of size 100 000 cm³. Will it fit?,[object Object],0.5 m³ = 0.5 m x m x m,[object Object], = 50 cm x m x m,[object Object],x 100,[object Object],x 100,[object Object], = 5000 cm x cm x m,[object Object],So, no it won’t fit!,[object Object],x 100,[object Object],= 500 000 cm x cm x cm = cm³,[object Object]

Prisms,[object Object],Shapes that have a uniform cross section (ie all the same all the way through) are called prisms.,[object Object],The volume of a prism is the cross-sectional area  length.,[object Object]

A square prism is called a cube,[object Object]

A square prism is called a cube,[object Object],A rectangular prism is called a cuboid,[object Object]

A square prism is called a cube,[object Object],A rectangular prism is called a cuboid,[object Object],A circular prism is called a cylinder,[object Object]

Now try these,[object Object],Find the volume of the following cuboids,[object Object], 4 cm,[object Object],2 cm high 3 cm wide 2 cm,[object Object], 5 cm 3 cm,[object Object],2. Computer disks are 9 cm by 0.3 cm by 9.3 cm. Calculate the volume of the disk.,[object Object],3. A tin of beans has a diameter of 7 cm and is 4.5 cm high. Work out the volume of the tin.,[object Object]

Surface area,[object Object],All 3D shapes have a surface area.,[object Object],The surface area is the sum of the area of all the sides of a shape.,[object Object],The surface area of a cuboid is the sum of all the 6 rectangular faces.,[object Object],The rectangular faces can be grouped in pairs.,[object Object]

Example,[object Object],Find the surface area of the cuboid which is 4 cm  5 cm  10 cm,[object Object]

Now try these,[object Object],Find the surface areaof the following cuboids,[object Object], 4 cm,[object Object],2 cm high 3 cm wide 2 cm,[object Object], 5 cm 3 cm,[object Object],2. Computer disks are 9 cm by 0.3 cm by 9.3 cm. Calculate the surface areaof the disk.,[object Object],3. A tin of beans has a diameter of 7 cm and is 4.5 cm high. Work out the surfaceof the tin.,[object Object]

Volumes And Surface Area

Volumes And Surface Area

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Volumes And Surface Area