Block-shaped 5556

Excavated soil increases the volume of the pile by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool?

Correct answer:

V₁ =  27 m³
V₂ =  20 m³

Step-by-step explanation:

$$\begin{gathered} a=6\text{m} \\ b=2.5\text{m} \\ c=1.8\text{m} \\ {V}_1=a\cdot b\cdot c=6\cdot 2.5\cdot 1.8=27{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} a_2=5\text{m} \\ {b}_2=2\text{m} \\ {c}_2=1.5\text{m} \\ {V}_2=(1+1/3)\cdot a_2\cdot b_2\cdot c_2=(1+1/3)\cdot 5\cdot 2\cdot 1.5=20=20{\text{m}}^3 \\ {V}_1>V_2 \end{gathered}$$

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