In class, we learned what cross-sections would be created from common 3-D figures by using play-doh to make those 3-D figures and slicing them with parallel and perpendicular cuts to the base. Below are a few of those shapes (among others) that we created!
Volume of Right Prisms (Rectangular and Triangular)
Finding the volume of a prism will depend on the face of the prism. At times it may be as easy as a rectangular prism (LWH = V), or it may require a different formula to find the area. Pay attention to the type of prism and then use the appropriate formula.
Volume of Pyramids
Volume of Cylinders
For the volume of a cylinder,
Volume of Spheres
Volume of Cones
Volume of Rectangular Prisms (optional review)
Finding the volume of a rectangular prism is simply length * width * height to get the cubic units of the capacity of a 3-d figure.
The video notes are below.
Short video shown in class on how to find a cross section for different cuts.
Cross section practice.
The figures to the side are inscribed figures because they are shapes with shapes inside of them. You may remember something similar to this from finding the geometric probability of a figure in the previous unit.