Let's start by detailing the steps to find the cross-sectional area of the tank.
1. Understand the given information:
- The volume of the tank is 2.4 cubic meters (m³).
- The height of the tank is 80 centimeters (cm).
2. Convert the height from centimeters to meters:
Since 1 meter (m) is equivalent to 100 centimeters (cm), we can convert the height by dividing by 100.
[tex]\[
\text{Height (in meters)} = \frac{\text{Height (in centimeters)}}{100} = \frac{80 \, \text{cm}}{100} = 0.8 \, \text{m}
\][/tex]
3. Calculate the cross-sectional area:
Recall the formula for the volume of a rectangular tank:
[tex]\[
\text{Volume} = \text{Cross-sectional area} \times \text{Height}
\][/tex]
This formula can be rearranged to solve for the cross-sectional area:
[tex]\[
\text{Cross-sectional area} = \frac{\text{Volume}}{\text{Height}}
\][/tex]
Substituting the known values:
[tex]\[
\text{Cross-sectional area} = \frac{2.4 \, \text{m}^3}{0.8 \, \text{m}} = 3 \, \text{m}^2
\][/tex]
Hence, the cross-sectional area of the tank is approximately [tex]\( 3 \, \text{m}^2 \)[/tex].
