Select all the prisms.
Use snap cubes to build a 3-D Shape.
In the applet below, you can keep dragging blocks out of the pile by their red points until you have enough to build what you want.
(1.) Using the face of a snap cube as your area unit, what is the area of the shape? Explain or show your reasoning using the applet below.
(2.) Describe this three-dimensional object.
(3.) What is the volume of your object? Explain your reasoning.
(4.) Right now, your object has a height of 2. What would the volume be if it had a height of 5?
(5.) Right now, your object has a height of 2. What would the volume be if it had a height of 8.5?
The applet below has a set of three-dimensional figures. Note that each polyhedron has only one label per unique face. Where no measurements are shown, the faces are identical copies.
Explore Features of Polyhedra.
There are 4 different prisms that all have the same volume. Here below is what the base of each prism looks like.
(1.) Explain your reasoning.
(2.) If the volume of each prism is 60 cubic units, what would be the height of each prism?
(3.) For a volume other than 60 cubic units, what could be the height of each prism?
For each prism, shade one of its bases.
The volume of both of these trapezoidal prisms is 24 cubic units. Their heights are 6 and 8 units, as labeled.
What is the area of a trapezoidal base of each prism?