Name
Date
Area and Volume
Look at the figures below.
Figure A
Figure B
Figure C
Use the figures to complete the table.
Length of
Area of One
Volume
One Side (units)
Side (square units)
(cubic units)
2
8
4
Figure A
16
64
4
Figure B
8
512
64
Figure C
Write a rule that describes how the area of a square is affected when you double the
1.
length of each side.
Sample answer: When you multiply each side by 2, the
area increases by a factor of 4.
Write a rule that describes how the volume of a cube is affected when you double the
2.
length of each side.
Sample answer: When you multiply each side of a cube
by 2, the volume increases by a factor of 8.
Connect It How does the volume of a solid figure change if only one dimension is
3.
multiplied by 2? Explain your answer.
Sample answer: The volume would increase by a factor
of 2. For each additional dimension you multiply by 2,
the volume would increase by an additional factor of 2.