Task 4: Changing Dimensions How would a change in one measurement of an object affect its perimeter, area, surface
area, or volume? Would it increase or decrease by the same amount? Would it increase
or decrease proportionally?
a. A rectangle has a length of 3 inches and a width of 5 inches. How would the
perimeter and the area of the rectangle change if one of the dimensions were tripled?
How would the perimeter and the area change if both dimensions were halved?
Based on these numbers, is it possible to know how the perimeter and the area of
any rectangle would change if one dimension were doubled? How about if both were
doubled? If it is possible, explain how it would change
Type your response here: The perimeter will stay the same and the rectangle
would be half its size. The perimeter would be 30 inches if you double one or
the other. If both of the dimensions are doubled then the perimeter would also
double which would make it 60 inches.
b. In part a you were given specific changes to make to help determine how the
perimeter and area of the object would change in a general situation. Use the same
system of experimentation to determine how the circumference and the area of a
circle would change if its radius were doubled or halved.
Type your response here:
C. How would the surface area and the volume of a cylinder change if the radius and
the height were doubled? How would the surface area and the volume of a cylinder
change if the radius was doubled and the height was tripled?
Type your response here: