Question

convert the given measurement to the unit indicated using the table to the right.
0.05 m³ to kg
0.05 m³ = □ kg

volume\tcapacity\tweight
1 cm³\t=\t1 ml\t=\t1 g
1 dm³ = 1000 cm³\t=\t1 l\t=\t1 kg
1 m³\t=\t1 kl\t=\t1000 kg = 1 t

Explanation:

Step1: Recall the conversion factor

From the table, we know that \(1\ m^{3}\) is equivalent to \(1000\ kg\) (since \(1\ m^{3}=1\ kL\) and \(1\ kL = 1000\ kg\)).

Step2: Set up the conversion

We need to convert \(0.05\ m^{3}\) to \(kg\). Using the conversion factor, we multiply the given volume in cubic meters by the conversion factor from \(m^{3}\) to \(kg\).
The formula for the conversion is: \(\text{Weight (in kg)}=\text{Volume (in }m^{3})\times1000\ \frac{kg}{m^{3}}\)
Substituting the given volume \(0.05\ m^{3}\) into the formula:
\(0.05\ m^{3}\times1000\ \frac{kg}{m^{3}}\)

Step3: Perform the multiplication

\(0.05\times1000 = 50\)

Answer:

\(50\)