If the rectangular box were filled with 1 cm cubes, there would be:
6 × 2 cubes in the bottom layer
As there are 3 layers,
Now note that the area of the box's base is given by:
From the above discussion, we can derive a formula
for the volume
of a rectangular box as follows:
In general:
The volume, V, of a solid is given by
where A is the area of the base (or cross-section) of the solid
and h is the height.
The volume of the following solids are often required to solve real world
problems.
A cube of side-length l units has a volume of V cubic units
given by
A cuboid with length l units, width w units and height h
units has a volume of V cubic units given by
Example 2
Find the volume of a cube of side 10 cm.
Solution:
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