Complete the table for the WUMPS. Recall that all WUMPS are similar to Mug. Round answers to hundredths.
Scale factor  Perimeter (mouth) 
Perimeter (nose) 
Area (mouth) 
Area (nose) 


Mug  1  10  \( 2 + 2 \sqrt{2} ~= 4.83 \)  4  1 
Tug  2  20  \( 4 + 2 \sqrt{8} ~= 9.66 \)  16  4 
Thug  3  30  \( 6 + 2 \sqrt{18} ~= 14.49 \)  36  9 
Fug  4  40  \( 8 + 2 \sqrt{32} ~= 19.31 \)  64  16 
Hug  0.5  5  \( 1 + \sqrt{2} ~= 2.41 \)  1  0.25 
Consider a rectangular prism with dimensions 1 by 2 by 3.
original  2 times side lengths 
5 times side lengths 
10 times side lengths 
k times side lengths 


Dimensions  1 by 2 by 3  2 by 4 by 6  5 by 10 by 15  10 by 20 by 30  1k by 2k by 3k 
Surface area  22  88  550  2,200  \( 22 \cdot k \cdot k\) 
Volume  6  48  750  6,000  \( 6 \cdot k \cdot k \cdot k \) 