A meter is a measure of distance and cannot be a measure of volume. Therefore the question is incorrect in stating that the the numbers refer to volumes rather than lengths of edges, or it is incorrect in the units used for the volumes. Either of these errors make it impossible to answer the question in a sensible way.
DensityThe ratio of mass to volume is density.
Density is the ratio of mass to volume.
to obtain the ratio of surface area to volume, divide the surface area by the volume.
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
To obtain the ratio of surface area to volume, divide the surface area by the volume.
If two pyramids are similar, the ratio of their volumes is the cube of the ratio of their corresponding edge lengths. Given that the ratio of their edges is 3.11, the ratio of their volumes would be (3.11^3). Calculating this, the volume ratio is approximately 30.3. Thus, the volume of the larger pyramid is about 30.3 times that of the smaller pyramid.
If the VOLUME is 999 SQUARE inches then you have gone wrong. SQUARE inches are a measure of AREA VOLUME is measured in CUBIC units. Assuming you meant The volume of a prism is 999 CUBIC inches, then the volume of a pyramid with the same height is indeterminate (cannot be given), as there is NO INDICATION of how the height of the pyramid relates to the height of the prism. So, ASSUMING you mean the volume of a prism is 999 CUBIC inches AND the HEIGHT of the pyramid is the same as the height of the prism, then the volume of the pyramid is one third that of the prism, ie 999 cu in ÷ 3 = 333 CUBIC inches.
the ratio concerned with top management
The ratio between mass and volume is density.
DensityThe ratio of mass to volume is density.
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Density is the ratio of mass to volume.
to obtain the ratio of surface area to volume, divide the surface area by the volume.
Void ratio (e) is typically defined as the ratio of the volume of voids to the volume of solids in a soil sample. The formula for void ratio is e = Vv/Vs, where Vv is the volume of voids and Vs is the volume of solids in the soil sample.
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
The clearance ratio for a single stage compressor is the ratio of the volume clearance at the end of the suction stroke to the volume displaced by the piston during the compression stroke. It is important to minimize clearance ratio to improve compressor efficiency. A lower clearance ratio indicates less trapped volume and better performance of the compressor.