Look at the picture on the board: an empty box, with a pile of little centimetre cubes beside it.
Roughly how many of those little cubes do you think would fill the box right up to the top? Have a good look before you guess.
Three boxes in the picture, each already filled with little cubes. Take the length, breadth and height of each one from the teacher notes, and notice how the cube count grows.
For each box, count one flat layer of cubes first. Then count how many layers are stacked up. One layer, times the number of layers, gives the whole box.
The last box is a plain cube: every side is the same length. Together, tell me what happens to the count when all three sides are the same length.
We build and measure at the board together. Whoever is at the board drags the sliders while the whole class works each answer out loud.
First set the box to 3 × 2 × 2. Then grow it to 5 × 4 × 2. Then raise the height to 3 cm.
Each time, work out the base layer first, then how many layers high the box is, and call out your prediction before we read the volume off the tool.
In your maths copy, sketch these three shapes: the 5 × 3 × 2 box, the 6 × 4 × 3 box, and the 4 cm cube.
Label the three dimensions on each one, then write the volume formula and the answer in cm³. Underline the unit on every one.
We work through these volumes together. First a 3 cm cube. Then a 7 × 2 × 2 cuboid. Then a 5 × 5 × 4 cuboid.
Last of all comes a puzzle that turns it around: a box has a volume of 48 cm³ and a 4 cm × 3 cm base, so how high is it? Work each one together and confirm the answer before moving on.
Find the volume of each box in cm³. Last of all, a box holds 48 cm³ and its base is 4 cm by 3 cm — work out how high it is.
Ways to start:
Stretch:
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