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Volume of box 12 by 5 by 3

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 12 long, 5 wide and 3 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 = 12, width = 5 and height = 3.

V = 12 × 5 × 3

12 times 5 is 60.

That is one layer of 60 cubes.

There are 3 layers.

So V = 60 × 3.

V = 60 × 3

60 times 3 is 180.

So the volume is 180 cubic units.

V = 180
Answer
V = 180

Your turn

Try this one yourself, then check:

Find the volume.
Show the answer
V = 168

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