Volume of a Cuboid Lesson Objectives To be able to

calculate the volume of any cuboid Starter Can you rearrange the letters in each of the

words to make the name of a shape on the

worksheet provided?

So What Is Volume? Volume is a measure of

space within an object It means thinking in

three dimensions Or, how many cubes

fit into the shape Can you make a

cuboid using

12 multi-link

blocks? Yes!

So how do we write down our findings? But which measurements

do we need to record??! To work out an area of a rectangle we do... width x length This is two dimensions So for three dimensions we need a third measurement! The formula to work out the volume of any cuboid is therefore.... width x length x height We already know that the volume

for our cuboids are 12 multi-link cubes But what's that

equal to???!! width length Or, think about how many layers

you have Can you calculate

the volume of

this cuboid? Well, the front face has

12 blocks And there's

7 layers So that makes

7 lots of 12 Or for those

mathematically

minded,

12 x 7 = 84 cubes And if they were centimetre

cubes we would write that as...

84 cm 3 Now try your own

on the Volume Worksheet

You can be as creative as you

like for questions D & E

Extension

Can you calculate the volume of

something other than a cuboid? So, how do we calculate the

volume of any cuboid again? So, if a we wanted to store

one metre cubed boxes within

this room, how many one metre

cubes could we store? What would we need to

know in order to find this

information out? width x length x height Plenary If a cuboid had a volume of

60cm

Then what could it's dimensions be? 3 So for a volume of 60cm

We'd need

width =

length =

height = 3 Remember, the volume of ANY cubiod can

be worked out by: width x length x height So we need to find

3 numbers that multiply

to make 60 So, can you now work out

the volume of any cuboid?

If so how? or

w x l x h

for short

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