55 questions
Soda is sold in aluminum cans that measure
4.83 inches in height and 2.6 inches in diameter. What is the approximate volume of each can?
25.63 in 3
26 in 3
19.73 in 3
95.28 in 3
What is the area of the figure? (Note: The segment shown measures 14 inches)
1424
356
822.5
712
What is the area of the figure?
2781.2
1345.3
275.3
1045.4
Find the volume.
80 cubic cm
108 cubic cm
28 cubic cm
145 cubic cm
Find the volume of the following shape.
(What two solids are being added together??)
4155.27 m3
1038.82 m3
804.24 m3
1005.31 m3
a) Cavalieri’s Principle states that any two objects with equal volume must have the same height.
True
False - if two objects have equal volume must have the same BASE, not height
False - if two objects have equal volume must have the same SLANT HEIGHT, not height
False - if two objects have the same base and height, they must have the same volume.
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.
a) A cone and a pyramid with equal base areas and heights
These COULD have the same volume
These MUST have the same volume
These MUST NOT have the same volume
Not enough information
b) A cylinder and a right rectangular prism with equal heights
These COULD have the same volume
These MUST have the same volume
These MUST NOT have the same volume
Not enough information
c) A cylinder and a cone with the same radius
These COULD have the same volume
These MUST have the same volume
These MUST NOT have the same volume
Not enough information
According to Cavalieri’s Principle, which of these shapes has a greater area?
The one on the left
The one on the right
They have the same area
Not enough information
Explain what this image is trying to show
How to calculate the area of the triangles
That the two triangles have the same area
That parallel lines show the angles are congruent, therefore the triangles are congruent by ASA
How to apply the pythagorean theorem
Explain what this image is trying to show
How to calculate the area of the triangles
That the two triangles have the same area
That parallel lines show the angles are congruent, therefore the triangles are congruent by ASA
How to apply the pythagorean theorem
What is the area of the cross-section if the diameter of the base is 6 feet and the height of the cylinder is 8 feet.
24 ft2
48 ft2
8 ft2
4 ft2
Select the 2D object that can be rotated to form the 3D object shown.
Which 3D shape will be formed if the semi-circle is rotated around axis E?
Select ALL of the 2D objects that when rotated will create the 3D object.
Select ALL of the following that can be created by rotating the following 2D object on any of the axes shown.