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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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