WorksheetsVolume, Cavalieri's Principle, Rotations, Cross-Sections
Total questions: 12
Worksheet time: 3600secs
What 3-D solid is formed when this rectangle is rotated about the vertical line?
Right, rectangular prism
Right, circular cylinder
Right, oval cylinder
Right, square prism
Which 2-D shape could be revolved about the vertical line to create the 3-D solid?
a) 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.
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.
Find the volume.
1,444.48 ft3
1,745.92 ft3
2,132.08 ft3
2,951.68 ft3
Determine the volume of the composite solid. Round your answer to the nearest tenth.
150.8
1504.1
1529.2
1680
