Page 237 - SK Year 5 Mathematics DLP

14 cm

2 Jafri sketches the parts of a
wooden block to be cut. The
sketch would be in the shape of 14 cm
a cuboid. Calculate the volume of 18 cm
the wooden block after being cut. 16 cm
23 cm

Understand the problem 14 cm
• Identify the length, breadth, and

height of the original wooden block
and the shape that has been cut. 14 cm
• Cuboid-shaped cuts. 18 cm

• Find the volume of the wooden 16 cm

block after being cut.
23 cm
Plan the strategy

• The volume of the original wooden block = 23 cm × 16 cm × 18 cm.
• The volume of the cuboid to be cut = 14 cm × 16 cm × 14 cm.
• The volume of the wooden = The volume of the – The volume of the
block after being cut original wooden block cuboid to be cut

Solve

The volume of the original The volume of the cuboid to be cut
wooden block 2 1
1 5 6 1 4 cm 2 2 4cm 2
2 3 cm 3 68 cm 2 × 1 6 cm × 1 4cm
× 1 6 cm × 1 8 cm 1 1 1
1 3 8 1 1 8 4 8 9 6
+ 2 3 0 2 9 44 + 1 4 0 + 22 4 0
3 6 8 cm 2 + 3 6 80 2 3 1 3 6cm 3
6 6 24 cm 3 2 2 4 cm

11 Check
The volume of the 5 1 14 1 1
wooden block 6 6 2 4 cm 3 3 4 8 8 cm 3 3
after being cut − 3 1 3 6 cm 3 + 3 1 3 6 cm
3 4 8 8 cm 3 6 6 2 4 cm 3

3
The volume of the wooden block after being cut is 3 488 cm .

229
• Guide pupils to find the volume of a single shape before calculating the
6.5.1
volume of the composite shape.