Luttrell 2012
49
Name: ______________________
Date: _____
3L- Similar Shapes and their Surface Area & Volume
Show your work in spite of having a calculator. If your calculator does not have a π button, use
3.14 to approximate π.
1. Find the volume of a box with dimensions of 3 by 4 by 5.
2. Find the volume of a box with dimensions 6 by 8 by 10.
3. Find the volume of a box with dimensions of 12 by 16 by 20.
4. By how much, are the dimensions of the second box bigger than the first box? How does that
compare to their volumes?
5. By how much, are the dimensions of the third box bigger than the first box? How does that
compare to their volumes?
6. Find the volume of a cylinder that has a diameter of 2 and height of 4.
7. Find the volume of a cylinder that has a diameter of 4 and a height of 8.
8. Find a volume of a cylinder that has a diameter of 6 and a height of 12.
9. How do the dimensions in problems #6 and #7 compare? How do their volumes compare?
10. How do the dimensions in problems #6 and #8 compare? How do their volumes compare?
11. What rule can you create to make it easier to compare the volumes of similar shapes?