Answer:
Meters, Squared meters or cubic meters
Explanation:
Here we want to give measurements for a house.
We can give 3 types of measures:
- We can give the length of the house. This is a one-dimensional size; length is measured in meters (m), so this measure is given in meters.
- We can give the measure of the area of the whole floor of the house: the area is defined as
[tex]A=L_1\cdot L_2[/tex]
where [tex]L_1,L_2[/tex] are the lengths of the two sides. Since each length is measured in meters, the area is measured in
[tex][A]=[m]\cdot [m]=[m^2][/tex]
So, squared meters.
- We can give the measure of the volume of the whole house: the volume is defined as
[tex]V=L_1\cdot L_2 \cdot L_3[/tex]
where [tex]L_1,L_2,L_3[/tex] are the lengths of the 3 sides. Since each length is measured in meters, the volume is measured in:
[tex][V]=[m][m][m]=[m^3][/tex]
Therefore, cubic meters.