Area units - Examples, Exercises and Solutions

The function of surface area units is to quantify or measure the area of objects. Since these are two-dimensional units, they are always expressed in square powers. For example, square centimeter (cm2) \left(\operatorname{cm}^2\right) , square meter (m2) \left(m^2\right) , square kilometer (km2) \left(\operatorname{km}^2\right) , and so on.

Let's analyze a simple exercise:

We have a rectangle that is 10 10 cm long and 7 7 cm wide, and we need to calculate its surface area.

In this case, the calculation is quite simple. We will calculate the surface area of the rectangle by multiplying the length by the width, that is, 10cm 10cm times 7cm 7cm . The result is 70cm2 70cm^2 . It's crucial to emphasize that since we multiply cm by cm, the result is given in cm2 cm^2 , meaning cm squared(cm raised to the second power).

Practice Area units

Exercise #1

0.5m=?cm 0.5m=?cm

Video Solution

Answer

50 50

Exercise #2

5cm=?mm 5cm=?mm

Video Solution

Answer

50 50

Exercise #3

5000cm=?km 5000cm=?km

Video Solution

Answer

0.005 0.005

Exercise #4

7m=?cm 7m=?cm

Video Solution

Answer

700 700

Exercise #5

7m=?cm 7m=?cm

Video Solution

Answer

700 700

Exercise #1

12cm=?dm 12cm=?dm

Video Solution

Answer

1.2 1.2

Exercise #2

15km=?m \frac{1}{5}km=?m

Video Solution

Answer

200 200

Exercise #3

212km2=?m2 2\frac{1}{2}km^2=?m^2

Video Solution

Answer

2500m2 2500m^2

Exercise #4

291cm2=?m2 291cm^2=?m^2

Video Solution

Answer

0.0291m2 0.0291m^2

Exercise #5

3780m2=?km2 3780m^2=?km^2

Video Solution

Answer

3.78km2 3.78km^2

Exercise #1

5cm=?mm 5cm=?mm

Video Solution

Answer

50 50

Exercise #2

0.6km=?cm 0.6km=?cm

Video Solution

Answer

60,000 60,000

Exercise #3

8km2=?m2 8km^2=?m^2

Video Solution

Answer

8000m2 8000m^2

Exercise #4

9m2=?cm2 9m^2=?cm^2

Video Solution

Answer

90000cm2 90000cm^2

Exercise #5

125m=?km 125m=?km

Video Solution

Answer

18 \frac{1}{8}

Topics learned in later sections

  1. Units of Volume
  2. Currency Units