3D Figures and Cross Sections

V = ?

• 14.13 in³

• 56.52 in³

• 169.56 in³

Find the volume

• 1120 ft2

• 2011 ft2

• 120 ft3

• 1120 ft3

Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.

• 216 yd³

• 108 yd³

• 72 yd³

• 36 yd³

Select EACH shape found in the compound shape.

• rectangular prism

• triangular prism

• cylinder

• square pyramid

What shape will the vertical cross -section of a cylinder be?

• Circle

• Triangle

• Rectangle

• Ellipse

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.

Select the 2D object that can be rotated to form the 3D object shown.

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Which 3D shape will be formed if the semi-circle is rotated around axis E?

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