Two
for One Box Company: Student Worksheet
Name: ____________________________________
Does a box twice as big
hold twice as much? (Twice as big here means doubling each dimension)
Students work individually
or in pairs
- Several sheets of 1 centimeter
square grid paper
- Quantity of 1 centimeter
cubes for each group
- Handouts for each student
- Scissors
- Tape
- Have students draw a net (a two-dimensional pattern that can be
formed to make a solid) for making an open top box on the grid paper
for each of the sets of dimensions listed below.
- Cut out the net and fold up each side to form the open box and tape
the sides.
- Find the volume of the box by filing it with 1 centimeter cubes,
and record the results in a table such as the one below.
BOX
|
DIMENSIONS
|
VOLUME
|
A
|
2
X 2 X 2
|
|
B
|
3
X 3 X 3
|
|
C
|
4
X 4 X 4
|
|
D
|
5
X 5 X 5
|
|
E
|
2
X 4 X 6
|
|
F
|
2
X 3 X 4
|
|
- Write a ratio between the first dimension of Box A and Box B.
- Write a ratio between the volumes of Box A and Box B.
- Are they equivalent?
- If not, what can you do to the ratio of dimensions to make it equivalent
to the ratio of volumes?
- How would you change the dimensions of a box to ensure that the
volume is doubled?
As a result of this activity,
students will understand how changing dimensions of a figure affects
its volume.
Have students find volumes
for several different prisms when given the ratio of the dimensions
of the prism and the volume of one prism.
|