The ratio is 57 cubed. This answer does not depend on the fact that you are comparing two similar pyramids; it works the same for two cubes, two spheres, etc. - in general, for any two similar 3D objects.
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
Given that ΔHKM~ΔRST, name the corresponding congruent angles and write three proportions.
If you are given two lengths with the units of centimeters just multiply the two cm lengths and you have cmxcm which is cm2
A parallelogram or a rectangle would fit the given description
Yes, any length - from virtually zero to that of the diameter.
274,625. The volume formula is lwh/3, so if the sides are 65x longer, the volume will be (65^3)x larger, or 274,625.
ratio of volumes is the cube of the ratio of lengths radii (lengths) in ratio 3 : 4 → volume in ratio 3³ : 4³ = 27 : 64
If the ratio is 2 : 7 then the volumes are in the ratio 8 : 343.
It is 8 : 343.
It is 27 : 343.
Given that ΔHKM~ΔRST, name the corresponding congruent angles and write three proportions.
The information of a scale factors tell you how much to multiply to stretch or shrink the figure into the similar figure. On the other hand the information given by the twirls of side lengths is a comparison of two quantities
There is no "regular pyramid". There are triangle pyramids, square pyramids, pentagon pyramids, etc. With the information given in your question, there is no way to answer.
How many triangles exist with the given side lengths 3in, 4in, 2in
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
Volume is normally used as a measurement in relation to other volumes, or as a sum or total amount. As relational measurements, volume might be in a form similar to a recipe, or it might be given as percentages.
There are not any following lengths in the question to compare. Using the sizes given, and Pythagorean Theorem, the Hypotenuse of the triangle is 36.76 - which will have to do!