Volume of cuboids grades E-D lesson

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PLT Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Be reflective learners on previous learning outcomes.
(Which PLT skills?)
- Accurately calculate the volume of cuboids.
(Grades E-D)
Where are we
in our
journey?
AUTHOR
Real life
cross/curricular
links?
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PLT Skills
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STARTER
Reflective
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EXTENSION
TASK
Find the number of faces, vertices and
edges for the shapes below:
6
8
12
5
5
8
4
4
6
Find the number of faces, vertices and
edges for the shapes below:
8
6
12
5
6
9
8
12
18
7
7
12
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VOLUME OF CUBOIDS
INTRODUCTION
VOLUME
CUBIC
CENTIMETRE
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AMOUNT OF SPACE INSIDE A SOLID
(3D SHAPE)
CUBE WHICH MEASURES 1CM IN ALL DIRECTIONS.
1cm
1cm
1cm
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VOLUME OF CUBOIDS
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INTRODUCTION
Each solid below is made up of centimetre cubes. Work out their
respective volumes.
VOLUME =
(Because it is made up of 12 cubes)
VOLUME =
(Because it is made up of 20 cubes)
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VOLUME OF CUBOIDS
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VOLUME OF A CUBOID = Length x Width x Height
EXAMPLES
Find the volume of the cuboids below in cm3 :
1)
2)
3)
Volume = l x w x h
Volume = l x w x h
Volume = l x w x h
Volume = 12cmx 6cm x 9cm Volume = 5.2cmx 5.2cmx5.2cm Volume = 7.8mx3.5mx 4.7m
Volume = 648cm 3
Volume = 140.6cm3 (1d.p.) Volume = 128.31m 3
Volume = 128310000cm 3
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VOLUME OF CUBOIDS
TASK 1 (GRADE E)
Calculate the volume for each of the cuboids below:
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VOLUME OF CUBOIDS
TASK 2 (GRADE D)
Work out the missing lengths for each of the cuboids below:
18cm
8cm
12cm
4cm
11cm
8cm
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VOLUME OF CUBOIDS
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EXTENSION (GRADE D)
1) A tank contains 32000 litres of water. The base of the tank measures 6.5m
by 3.1m. Find the depth of water in the tank. Give your answer to one decimal
place.
1.6m
2) A room contains 168m 3 of air. The height of the room is 3.5m. What is the
area of the floor?
3) What are the dimensions of cubes with these volumes?
a) 27cm 3 b) 125m 3 c) 8mm 3 d) 1.728m 3
3cm
5m
2mm
1.2m
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VOLUME OF CUBOIDS
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MINI-PLENARY
Work out the volume for each of the items shown:
Volume = 3 cm x 13 cm x 21 cm = 819
cm3
6 cm
6 cm
6 cm
Volume = 63 = 216 cm3
3 cm
21 cm
13 cm
1.1 m
Volume = 1.3 m x 1.8 m x 1.1m = 2.574m3
1.3 m
1.8 m
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DISCOVERY
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LINK BACK TO OBJECTIVES
- Accurately calculate the volume of
cuboids.
What grade
are we
working at?
PLENARY ACTIVITY
Work out the volume of the compound shape below:
Not to
scale
Volume = 5 x 2 x 8= 80 cm3
8 cm
5 cm
8 cm
80 cm3
512 cm3
288 cm3
8 cm
Volume = 83 = 512 cm3
3 cm
12 cm
Volume = 12 x 3 x 8= 288 cm3
Volume = 512 + 288 + 80 = 880 cm3
2 cm
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about
calculating the volume of cuboids. It can be a skill or a reflection, or
something else that might be prominent in your brain.
Where are we
in our
journey?
What grade
are we
working at?
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Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
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I fully
understand
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Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
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