Cuboid Dimensions Sum Edges

The sum of the lengths of all block edges is 4m. 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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