Cross Sections of Prisms

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

• A Circle

• A Trapezoid

• A Triangle

• A Rectangle

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.

Describe the cross section.

• trapezoid

• triangle

• rectangle

• square

Which best describes the cross-section?

• square

• triangle

• parallelogram

• hexagon

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.

Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

• False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

• True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

• False. The cross-sections are not the same shape.

• True. All the shapes are 3-D figures and the same height.

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume.

Who is correct?

• Jenny

• Renee

• Neither Jenny or Renee is correct.

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.
  

Describe the cross-section.

• square

• rectangle

• triangle

• circle

Determine the volume of the composite solid. Round your answer to the nearest tenth.

• 150.8

• 1504.1

• 1529.2

• 1680