Section A Problems
Section B Problems
Section C Problems
Definitions
100
FREE SPACE
Congrats!
100
Write an expression that represents the volume of this rectangular prism in cubic units
3 X 4 X 6, 24 + 24 + 24, or 18 X 4
100
Find the volume of the figure. Explain or show your reasoning.
72 cubic inches.
100
Define area on your whiteboard
The number of square units that cover a flat figure without gaps or overlaps
200
Which has the greater volume? Explain or show your reasoning.
A
B
Shape B. There are 7 cubes in shape A and 8 cubes in shape B, assuming there is one cube hidden behind, so shape B has a greater volume.
200
A box of milk measures 4 cm by 10 cm by 30 cm. What is its volume in cubic centimeters? Explain or show your reasoning.
The volume is 4 X 10 X 30 cubic centimeters. That’s 40 X 30 or 1200 cubic cm.
200
FREE SPACE!
I'm sure the other groups aren't jealous!
200
Define cubic unit on your whiteboard
A unit cube with side lengths that are standard measurement units that is used to measure volume.
300
Find the volume of the rectangular prism. Explain or show your reasoning
18 cubes. Sample reasoning: There are 3 X 2 or 6 cubes in each layer and 3 layers so that’s 3 X 6 or 18 cubes.
300
FREE SPACE :)
Lucky!
300
What is the volume of this figure? Explain or show your reasoning.
64 cubic units. There are 4 layers of 3 by 5 so that is 4 X (3 X 5) or 60 and then 4 extra cubes in front.
300
Define volume on your whiteboard
The number of unit cubes that fill a solid figure without gaps or overlap.
400
How many different rectangular prisms can you make with 18 cubes? Explain or show your reasoning.
4. 1 by 1 by 18, 2 by 1 by 9, 3 by 1 by 6, 3 by 2 by 3.
400
An object has volume of 36 cubic inches. What could the length, width, and height of the container be?
2 X 6 X 3, 3 X 6 X 2, 6 X 2 X 3, etc
400
Han says that the volume of this rectangular prism is 50 times as great as a 2-inch cube. Do you agree with Han? Explain or show your reasoning.
Yes. The rectangular prism has a volume 5 X 10 X 8 which is 400 cubic inches. The 2-inch cube has volume 8 cubic inches so the rectangular prism has volume 50 times greater than the 2-inch cube.
400
Define unit cube on your whiteboard
A cube whose sides are 1 unit long and is used to measure volume.
500
What is the volume of the figure? Explain or show your reasoning.
The figure is made of 12 cubes so its volume is 12 cubes.
500
A container has a volume of 120 cubic inches. What could the length, width, and height of the container be?
4 inches by 5 inches by 6 inches, 3 inches by 8 inches by 5 inches, 10 inches by 3 inches by 4 inches
500
Han says that he can fit 50 2-inch cubes in this rectangular prism. Do you agree with Han? Explain or show your reasoning.
No. The cubes have even measurements on all sides. There is no way to pack them so that they combine to give an odd measurement like the 5-inch height of the rectangular prism.
500
Define a rectangular prism on your whiteboard
A solid figure which has six faces that are rectangles.