J) Volume

Syllabus Content includes:

Volume of cube and cuboid 

1. building solids with unit cubes 

2. measuring volume in cubic units, cm3 /m3, excluding conversion between cm3 and m3  

3. drawing cubes and cuboids on isometric grid 

4. volume of a cube/cuboid 

5. finding the volume of liquid in a rectangular tank 

6. Relationship between ℓ (or ml) with cm3 

You will get to:

(a) use unit cubes (or connecting cubes) to build different solids (3D figures) and express their volumes in cubic units. 

(b) compare the sizes of solids in terms of their volumes. 

(c) build cuboids and cubes layer by layer using unit cubes (or connecting cubes) to establish the formula for the volume of a cuboid/cube. 

(d) build cubes of sizes 1 x 1 x 1, 2 x 2 x 2, 3 x 3 x 3, … using unit cubes (or connecting cubes) and find the volumes of the cubes by counting and by formula. 

(e) pour 1 litre of water into a container measuring 10 cm by 10 cm by 10 cm to establish the equivalence of 1 litre (1000 ml) and 1000 cm³. 

(f) make connections between 1 cm² and 1 cm3, and between 1 m² and 1 m3, e.g. use newspaper and masking tape to make a square of area 1 m² and a cube of volume 1 m³. 

(g) work in pairs to draw cubes and cuboids in different sizes and orientations on isometric grid. 

Counting the Cubes in a Cuboid

Building the Cubes

Perspective of 3D Figures

Finding the Volume of a Cuboid