1. WAJA MATHEMATICS YEAR 6 JPN PERAK
Learning Outcomes
Find the volume of 3-D composite shape of
two or more cubes and cuboids.
2. Solve problems in real context involving
calculation of surface area and volume
of 3-D shapes.
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2. WAJA MATHEMATICS YEAR 6 JPN PERAK
Revision for 3 Dimensional Shapes
CUBE CUBOID
Volume = breadth × height × length
Example question : Find the volume for this cube.
Cube has
same length
5 cm
for every
edges
5 cm
5 cm Volume = 5 cm × 5 cm × 5 cm = 125 cm³
Calculate the volume for this cuboid
Volume = 2 cm × 4 cm × 5 cm = 40 cm³
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3. WAJA MATHEMATICS YEAR 6 JPN PERAK
Find the volume of 3-D composite shape of two or more cubes and cuboids.
Example 1
5 cm
4 cm
7 cm
The composite shape is made up of a cuboid and a
cube. Find the total volume of the composite shape.
Recognize all the
given lengths of
certain sides the Step 1 :
Cube :
Length = 5, Breadth = 5, Height = 5
Cuboid :
Volume = length Length = 7, Breadth = 5, Height = 4
× breadth ×
Step 2 : Find the
Volume of cube = 5 × 5 × 5 = 125 cm3 volume using
the formula
Volume of cuboid :
= 7 × 5 × 4 = 140 cm3
Step 2 :
Total up the
volume of cube Total Volume
and cuboid = 125 cm3 + 140 cm3
= 165 cm3
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4. WAJA MATHEMATICS YEAR 6 JPN PERAK
cm3
means
cubic
Example 2 :
6 cm
The diagram is made up of three cubes. Calculate the
total volume of the three cubes.
Recognize all the
given lengths of
certain sides the Step 1 :
Remember : All the dimension of cube are
in the same length.
Cube :
Volume = length Length = 6, Breadth = 6, Height = 6
× breadth ×
Step 2 : Find the
Volume of a cube volume using
= 6 × 6 × 6 = 216 cm3 the formula
Step 2 :
Total up the
volume of cube Solution 1 :
and cuboid Total Volume :
= Number of cubes × 216 cm3
Solution 2:
= 216 cm3 + 216 cm3 + 216 cm3
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5. WAJA MATHEMATICS YEAR 6 JPN PERAK
Don’t forget to = ? cm3
write the unit of
Exercise 1
NO ITEM SOLUTIONS
1. Complete the table with the correct
measurement. Length
2cm
5cm Height
10cm
Breadth
2. Find the total volume of cube and cuboid
shape below.
3. The figure shows a combination of two
identical cubes and a cuboid
10 cm
3 cm
Find the total volume of the combination.
4.
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6. WAJA MATHEMATICS YEAR 6 JPN PERAK
3 cm
Calculate the total volume of the two identical
cubes.
Solve problems in real context involving calculation of surface area and volume of 3-D shapes.
Example 1 :
Diagram 4 shows a cuboid A and a cube B.
3cm 2cm
cccmcm
A B cm
2cm cm
10cm cm
Diagram 4
What is the difference between the volumes, in cm, of
A and B ?
Understanding Step 1 :
the problem 1. To find the difference between
the volumes of 2 boxes.
Devise a plan
Step 2 :
using formula
Volume = Length × Breadth × Height
for calculating
volume
To find the difference subtract bigger
volume by smaller volume
Carry out Step 3 :
the plan Volume of cuboid = 10 × 2 × 3 = 60 cm³
Volume of cube = 2 × 2 × 2 = 8 cm³
Difference = 60 cm³ - 8 cm³
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7. WAJA MATHEMATICS YEAR 6 JPN PERAK
= 52 cm³
Exercise 2
NO ITEM SOLUTIONS
1. Diagram 5 shows a cuboid X and cube Y.
8 cm 5 cm
X Y
9 cm
Diagram 5
What is the total volume, in cm3, of cuboid X
and cube Y ?
2. The diagram shows a combination of cuboid
A, cuboid B, and cube C.
8 cm
A B
C
12 cm
Calculate the total volume of the diagram.
3.
5 cm
10 cm
8 cm
The diagram shows three cuboids of the same
size. Find the volume of the combination.
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8. WAJA MATHEMATICS YEAR 6 JPN PERAK
4. A rectangular swimming pool with a length of
10 m, width of 5 m and a height of 2 m, is
completely filled with water. What is the
volume of water in the swimming pool?
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