Cross Sections of Prisms and Pyramids

A square pyramid is intersected by a plane passing through the vertex and perpendicular to the base. Which two-dimensional shape describes this cross section?

• square

• triangle

• pentagon

• rectangle

Tags

CCSS.7.G.A.3

In the diagram below, a plane intersects a square pyramid parallel to its base. Which two-dimensional shape describes this cross section?

• A. circle

• B. square

• C. triangle

• D. pentagon

Tags

CCSS.7.G.A.3

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

• circle

• square

• triangle

• rectangle

Tags

CCSS.7.G.A.3

Based on Cavalieri's Principle, will the two prisms have the same volume?

• No, they will not be same. Although the heights are the same, the cross-sections are different shapes. 

• Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.

Tags

CCSS.7.G.B.6

Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

• True

• False - the cross sectional areas are not relevant

• False - only the slant height is relevant

• False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

What two-dimensional figure will be created by a vertical cross section?

• triangle

• rectangle

• hexagon

• octagon

Tags

CCSS.7.G.A.3

Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent. Which could be the three-dimensional figure? Select three options.

• cone

• cylinder

• triangular prism

• triangular pyramid

• square pyramid

Tags

CCSS.7.G.A.3

Which shape can NOT be formed by a plane that intersects a triangular prism?

• A Circle

• A Trapezoid

• A Triangle

• A Rectangle

Tags

CCSS.7.G.A.3

A three-dimensional shape is sliced. The results from slicing are a triangle, a rectangle, and a trapezoid. What was the original 3D shape?

• Triangular Prism

• Triangular Pyramid

• Rectangular Pyramid

• Rectangular Prism

Tags

CCSS.7.G.A.3

What is a cross section of a three-dimensional object?

• The intersection of two lines on a graph.

• A two-dimensional shape created by slicing the object in various ways.

• The multiplication symbol.

• Any angle on the object that has a measure of 90 degrees.

Tags

CCSS.7.G.A.3