Square 8420

How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter?

Correct answer:

n =  25

Step-by-step explanation:

$$\begin{gathered} a=100\text{mm}\to \text{m}=100:1000\text{m}=0.1\text{m} \\ c=4000\text{mm}\to \text{m}=4000:1000\text{m}=4\text{m} \\ {V}_1=1{\text{m}}^3 \\ {V}_2=a^2\cdot c=0.1^2\cdot 4=\frac{1}{25}=0.04{\text{m}}^3 \\ n=V_1/V_2=1/0.04=25 \end{gathered}$$

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