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Clark Rosenbaum

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Term1/18
The opposite angles of a quadrilateral in a circumscribed circle must be
Definition1/18

supplementary

Term1/18
If the ratio between the radii of two spheres is 23 then what is the ratio of their volumes
Definition1/18

Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,

then the ratio of their volumes will be 233 = 1,2167

Term1/18
The ratio of surface areas of two similar solids is equal to the square root of the ratio between their corresponding edge lengths
Definition1/18

false - APEX

Term1/18
Two similar cones have radii of 4 and 3 respectively What is the ratio of their volumes
Definition1/18

16/9

Term1/18
All spheres are similar
Definition1/18

True...

Term1/18
The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges
Definition1/18

True

Term1/18
If two pyramids are similar and the ratio between the lengths of their edges is 4 9 what is the ratio of their volumes
Definition1/18

64:729

Term1/18
To find a segment parallel to another segment through a given point using paper folding techniques
Definition1/18

Fold the paper so the line is on itself.

Fold this folded edge on itself causing a crease to form that goes through the point in question,

You are using the theorem that lines perpendicular to the same line are parallel.

Term1/18
What is the surface area of a sphere with a radius of 15 units
Definition1/18

The surface area of a sphere with a radius of 15 units is 2,827 units2

Term1/18
What is a solid consisting of a polygon a point not in the same plane as the polygon and all points between them
Definition1/18

pyramid

Term1/18
Which is a solid bounded by the set of all points at a given distance from a given point
Definition1/18

A sphere is a solid bounded by the set of all points at a given distance from a given point.

Term1/18
The two solids below are similar and the ratio between the lengths of their edges is 45. What is the ratio of their surface areas
Definition1/18

16:25

Term1/18
The two cones below are similar. What is the height of the smaller cone
Definition1/18

15/7 APEX

Term1/18
If two cylinders are similar and the ratio between the lengths of their edges is 3 11what is the ratio of their volumes
Definition1/18

The ratio is 27 : 1331.

Term1/18
Is it possible to construct a cube of twice the volume of a giving cube only using a straightedge and compass
Definition1/18

No, it is not and in 1837 Pierre Wantzel proved this to be the case.

Term1/18
Can three dimensional figures be located on a Cartesian coordinate system
Definition1/18

yes

Term1/18
What is the volume of the prism given below length of 8 height of 6 width of 10
Definition1/18

Volume of prism: 8*6*10 = 480 cubic units

Term1/18
Which of the following are not polyhedrons
Definition1/18

Cone, cylinder.

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Cards in this guide (18)
The opposite angles of a quadrilateral in a circumscribed circle must be

supplementary

If the ratio between the radii of two spheres is 23 then what is the ratio of their volumes

Volume of a sphere of radius r: V = 4pi/3 x r3 If the ratio of the radii of two spheres is 23,

then the ratio of their volumes will be 233 = 1,2167

The ratio of surface areas of two similar solids is equal to the square root of the ratio between their corresponding edge lengths

false - APEX

Two similar cones have radii of 4 and 3 respectively What is the ratio of their volumes

16/9

All spheres are similar

True...

The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges

True

If two pyramids are similar and the ratio between the lengths of their edges is 4 9 what is the ratio of their volumes

64:729

To find a segment parallel to another segment through a given point using paper folding techniques

Fold the paper so the line is on itself.

Fold this folded edge on itself causing a crease to form that goes through the point in question,

You are using the theorem that lines perpendicular to the same line are parallel.

What is the surface area of a sphere with a radius of 15 units

The surface area of a sphere with a radius of 15 units is 2,827 units2

What is a solid consisting of a polygon a point not in the same plane as the polygon and all points between them

pyramid

Which is a solid bounded by the set of all points at a given distance from a given point

A sphere is a solid bounded by the set of all points at a given distance from a given point.

The two solids below are similar and the ratio between the lengths of their edges is 45. What is the ratio of their surface areas

16:25

The two cones below are similar. What is the height of the smaller cone

15/7 APEX

If two cylinders are similar and the ratio between the lengths of their edges is 3 11what is the ratio of their volumes

The ratio is 27 : 1331.

Is it possible to construct a cube of twice the volume of a giving cube only using a straightedge and compass

No, it is not and in 1837 Pierre Wantzel proved this to be the case.

Can three dimensional figures be located on a Cartesian coordinate system

yes

What is the volume of the prism given below length of 8 height of 6 width of 10

Volume of prism: 8*6*10 = 480 cubic units

Which of the following are not polyhedrons

Cone, cylinder.

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