The side length of a square was increased by a factor of 3. The new, enlarged area of the square is 1 over 9 times as large as the original area of the square.
Select one:
True
False
True
The dimensions of a can of sparking water were increased by a factor of 1.2. The new, enlarged volume of the can is 1.728 times as large as the original volume of the can.
Select one:
True
False
False
The length, width and height of a crate were decreased by a factor of 3 over 5. The scale factor relating the volume of the reduced crate to the original crate can be written in the form a over b, where
a = Answer
b = Answer
a = 3/5
b = 1
Martha is conducting a science experiment where she inflates a balloon using the gasses created in a chemical reaction. Martha is recording the balloon's circumference over time to see how the volume of gas inside the balloon changes. Martha's first measurement of the circumference is 22 cm. Her last measurement of the circumference is 43 cm.
What is the scale factor relating the volume of the balloon at the end of her experiment compared to the volume of the balloon at her first measurement.
Select one:
a.
Volume Scale Factor = 1.95
b.
Volume Scale Factor = 7.47
c.
Volume Scale Factor = 0.13
d.
There is not enough information to find the Volume Scale Factor.
d. There is not enough information to find the Volume Scale Factor.
The relationship between circumference and volume is not linear, so measurements of circumference alone cannot be used to determine the scale factor for volume.
The final volume of a balloon once it is fully inflated is 512 times larger than the volume it held originally. The scale factor relating the diameter of the fully inflated balloon to the original balloon is 8.
Select one:
True
False
True
A factory is producing key-chains with a coffee cup on them. The surface area of the sleeve that wraps around the actual coffee cup is 183 cm2. The surface area of the sleeve that wraps around the key-chain cup is 7.32 cm2.
The Area Scale Factor that represents the reduction of the actual coffee cup sleeve to the one on the key-chain is Answer
(recorded as a decimal, include the leading 0 if there is one, example: .5 x 0.5Check mark).
The Linear Scale Factor that represents the reduction of the actual coffee cup sleeve to the one on the key-chain is Answer
(recorded as a decimal, include the leading 0 if there is one, example: .5 x 0.5Check mark).