Page 350 - Math Smart - 7
P. 350
The solids below are made up of 1-cm cubes. Find the volume of each solid.
a) b)
^ ^ ^ ^
Try and Apply!
How many unit cubes are
there in this cuboid? Solid A Solid B
Solution
a) Number of cubes in Solid A = 7
^ ^ ^ ^ ^
Volume of Solid A = 7 cm^
b) Number of cubes in Solid B = 9
Volume of Solid 8 = 9 cm^
Deriving the formula of the volume of a cuboid
We can use 1-cm cubes to build cuboids. Let us look at the example below.
Each cube is a 1-cm cube.
2 cm
1 cm
4 cm
Number of cubes in 1 layer = 4x3 Number of cubes in 2 layers =12x2 Volume of the cuboid = 24 cm^.
= 12 =24
ThTnOn^nare We can calculate the volume like this;
4 X 3 X 2 = 24 cubes in the cuboid.
If there are 5 layers of
12 cubes in each layer, Volume of cuboid = length x breadth x height
what is the volume of the
cuboid formed? What is
the relationship between The length (/) of a cuboid is its longest edge.
the number of cubes in
The breadth (/;) or width of a cuboid is the
1 layer and the number height
edge that shows how wide the base is.
of layers?
The height (//) of a cuboid is the edge that length breadth
shows how high the cuboid is
UNIT 15 Measuring Time, Area, Perimeter and Volume
