• GS.MGSR.1.3: Model and solve real-world problems involving solids of revolution.

• GS.PAFR.2.1: Apply formulas for surface area and volume of 3D solids.

• GS.MGSR.1.2: Identify 2D cross sections of 3D figures.

• Essential Question
  How can we generate 3D solids by rotating 2D figures and apply that concept to real-world problems?

Fruit Ninja...but with geometric shapes!

Polyhedrons

A polyhedron is a 3D figure that is formed by polygons.

Examples of polyhedrons include a cube, prism, or pyramid. Non-polyhedrons are cones, spheres, and cylinders because they have sides that are not polygons.

​Pyramids vs. Prisms

A prism is a polyhedron with two congruent bases and the lateral sides are rectangles.

A pyramid is a polyhedron with one base and all the lateral sides meet at a common vertex.

Note: All prisms and pyramids are named by their bases.

Circles are not polygons and thus have different shapes on their own.

​
Cylinders are two circles as the bases, which are then connected.
We will be using Right Cylinders, so there is no slant.

Cones have a base, a circle connecting up to an apex. That's what we put ice cream in.

Spheres are... well, balls.

The Circle Ones

Solid Figures

Cylinder, Sphere, Cone, Pyramid

Cross Section Summary

✂️ A cross-section is the flat 2D shape you get when you slice through a 3D figure.
The result depends on how and where you slice.

🧠 Think About It:

• Horizontal slice through a cone → circle

• Vertical slice through a cone → triangle

• Diagonal slice through a cube → hexagon or triangle

Get your paper, pencil, and calculator ready.
You’ll complete 13 multi-step, real-world geometry problems.

Every answer must follow instructions:

• Use the π button when required

• Round as directed (whole number, tenth, etc.)

• NO units unless the question says to include them

Let’s do this!

Quizizz Code-

418883-
https://quizizz.com/join?gc=418883