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Volume of box 5 m by 2 m by 3 m

Step by step, with the reason for every step · Volume and surface area · Geometry

Step by step

The question

Question: find the volume of a box 5 m long, 2 m wide and 3 m high.

1 Length × width × height

Volume is how much space is inside.

We count the 1 by 1 by 1 cubes that fit.

The volume of a box is V = length × width × height.

V = length × width × height

Now put the numbers in: length = 5, width = 2 and height = 3.

V = 5 × 2 × 3

5 times 2 is 10.

That is one layer of 10 cubes.

There are 3 layers.

So V = 10 × 3.

V = 10 × 3

10 times 3 is 30.

We count cubes, so the unit is m³.

So the volume is 30 m³.

V = 30 m3
Answer
V = 30 m3

Your turn

Try this one yourself, then check:

Find the volume.
Show the answer
V = 60 m3

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