Which of the group of boxes represents the volume of 96 cubic units?
Which of the group of boxes represents the volume of 96 cubic units?
The correct option is D All the groups together
Volume is nothing but space occupied by any object.
Let's count the small boxes of 1 cubic meter in each group.
Group 1 has 4 boxes along the length and 3 boxes along the breadth.
The number of boxes in the first layer of Group 1 = 3 x 4 = 12 boxes.
There are two such layers in Group 1.
So, the total number of boxes in Group 1 = 2 x 12 = 24 boxes.
In Group 1:
Number of boxes along the length = 4
Number of boxes along the breadth = 3
∴ Number of boxes in the first layer is
= 4 x 3 = 12 boxes.
There are 2 such layers in Group 1.
∴ Total number of boxes in Group 1 is
= 12 x 2 = 24 boxes.
Each cube box volume = 1 cubic unit.
∴ Group 1 volume = 24 x 1 = 24 cubic units.
The other three groups have the same number of boxes.
Thus, they have the same volumes.
We require the total volume of 96 cubic units.
The volume of Group 1 is less than the required volume.
The total volume of groups 1 and 2 is still less than that of the service room.
The total volume of groups 1, 2, and 3 is also less than the required volume.
Adding the volume of all the four groups that is equal to 96 cubic units.
Therefore, all the groups of boxes together represent the volume of 96 cubic units.
Volume is nothing but space occupied by any object.
Let's count the small boxes of 1 cubic meter in each group.
Group 1 has 4 boxes along the length and 3 boxes along the breadth.
The number of boxes in the first layer of Group 1 = 3 x 4 = 12 boxes.
There are two such layers in Group 1.
So, the total number of boxes in Group 1 = 2 x 12 = 24 boxes.
In Group 1:
Number of boxes along the length = 4
Number of boxes along the breadth = 3
∴ Number of boxes in the first layer is
= 4 x 3 = 12 boxes.
There are 2 such layers in Group 1.
∴ Total number of boxes in Group 1 is
= 12 x 2 = 24 boxes.
Each cube box volume = 1 cubic unit.
∴ Group 1 volume = 24 x 1 = 24 cubic units.
The other three groups have the same number of boxes.
Thus, they have the same volumes.
We require the total volume of 96 cubic units.
The volume of Group 1 is less than the required volume.
The total volume of groups 1 and 2 is still less than that of the service room.
The total volume of groups 1, 2, and 3 is also less than the required volume.
Adding the volume of all the four groups that is equal to 96 cubic units.
Therefore, all the groups of boxes together represent the volume of 96 cubic units.
