Scale factors

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
Fug 40
Hug 0.5
  1. What pattern(s) do you notice about perimeter and scale factors?
  2. What pattern(s) do you notice about area and scale factors?
  3. Complete Fug Wump and Hug Wump based on the patterns found above.

Surface area and volume

Consider a rectangular prism with dimensions 1 by 2 by 3.

  1. What is the surface area of the rectangular prism?
  2. What is the volume of the rectangular prism?
  3. A new rectangular prism has double the dimensions of the original prism. What are the dimensions of the new prism?
  4. What is the surface area of the "doubled" rectangular prism?
  5. What is the volume of the "doubled" rectangular prism?
  6. How do the surface area of the prisms compare to each other?
  7. How do the volume of the prisms compare to each other?
  8. Complete the table below.
    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
    Surface area 22
    Volume 6

Mug Wump
Mug Wump
Glug
Glug
Tug Wump
Tug
Lug
Lug
Thug Wump
Thug