Yes, you can.
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
125/8 or (5/2)3
5
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
A cone is 1/3 of the volume of a cylinder with the same base and height. A pyramid is 1/3 of the volume of a prism with the same base and height.
Yes, you can.
Dimensions are linear measures whereas the volume is a cubic measure.
If the sides of two shapes are in the ratio of A : B, then their volumes are in the ratio A3 : B3, thus: ratio of volumes = 125 : 9 ratio of sides = 3√125 : 3√9 ~= 5: 2.08 (~= 2.4 : 1) Have you got the volumes correct? I suspect the second should be 8cm3 not 9cm3, because then the volumes would be 125cm3 and 8cm3 and: ration of volumes = 125 : 8 ratio of sides = 3√125 : 3√8 = 5 : 2 (= 2.5 : 1)
The answer to the question depends on whether you want to calculate the surface areas or the volumes, or some other measure.
Yes, they can. They can also have the same surface area, but different volume.
125/8 or (5/2)3
5
If the ratio of the dimensions of the larger prism to the smaller prism is r then the ratio of their volumes is r^3.
The price is related with different size and specification you want?
There are many types of prisms such as rectangular prisms,polyganic prisms crossed prisms and etc.
The answer depends on the shape of the box. There are cuboid boxes, circular ones, triangular prisms (Toblerone), hexagonal pyramids (chocolate). the formula for their volumes will be different.