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 | \( 6 \cdot k \cdot k \cdot k \) |