Cross Section: the 2 dimensional shape that results from cutting through the solid -

The Great Pyramids of Giza were originally built with a limestone cap at the top. Over the centuries, these caps have eroded away, and the tops of the pyramids are now parallel to the ground. What 2D shape describes the new top of the pyramid?

Let’s Review 2 concepts you’re already familiar with: First, circumference is the distance around the outside edge of a circle (or perimeter). It is calculated using the formula C = 2πr.

Vertical, through apex = triangle

Number of intersected faces = number of edges

The Great Pyramids of Giza were originally built with a limestone cap at the top. Over the centuries, these caps have eroded away, and the tops of the pyramids are now parallel to the ground. What 2D shape describes the new top of the pyramid?

Ice cream factories test how consistently the ingredients are distributed through each carton by cutting cartons in half for a good view. Describe the 2D figures that result from slicing a carton vertically or diagonally through the top & side.

Lateral surface (face)

Distance from center is constant. Therefore it’s a circle

Distance from center is not constant Actually an ellipse

Types of faces intersected determines types of edges on 2D figure

Ice cream factories test how consistently the ingredients are distributed through each carton by cutting cartons in half for a good view. Describe the 2D figures that result from slicing a carton vertically or diagonally through the top & side.

Lateral surface (face)

Intersects 1 curved & 1 flat face: parabola 2 curved & 2 flat faces: hyperbola

Geometrically similar to base: circle

Distance from center is not constant Actually an ellipse

Types of faces intersected determines types of edges on 2D figure