Cuboid Dimensions Sum Edges

The sum of the lengths of all block edges is 4 m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block.

Final Answer:

a =  0.1 m
b =  0.2 m
c =  0.7 m

Step-by-step explanation:

$$\begin{gathered} n=4 \\ n\cdot (a+b+c)=4 \\ a=b/2 \\ c=7a \\ n\cdot (a+2a+7a)=4 \\ 4\cdot (a+2a+7a)=4 \\ 4\cdot (a+2\cdot a+7\cdot a)=4 \\ 40a=4 \\ a=\frac{4}{40}=0.1 \\ a=\frac{1}{10}=0.1=0.1\text{m} \end{gathered}$$

$b=2\cdot a=2\cdot 0.1=0.2\text{m}$

$c=7\cdot a=7\cdot 0.1=0.7\text{m}$

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