Cremons

A freight wagon is cuboid-shaped with dimensions 21 m × 3.5 m × 4.2 m. How many cube-shaped boxes can be loaded into it if each box has an edge length of 7 cm?

Final Answer:

n =  900000

Step-by-step explanation:

$$\begin{gathered} a=21\text{m} \\ b=3.5\text{m} \\ c=4.2\text{m} \\ d=7\text{cm}\to \text{m}=7:100\text{m}=0.07\text{m} \\ {V}_1=a\cdot b\cdot c=21\cdot 3.5\cdot 4.2=\frac{3087}{10}=308\frac{7}{10}=308.7{\text{m}}^3 \\ {V}_2=d^3=0.07^3\doteq 0.0003{\text{m}}^3 \\ n=V_1/V_2=308.7/0.0003=900000 \end{gathered}$$

Try another example