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It is (S/s)3 where S and s are the lengths of the sides of the larger and smaller cubes, respectively.

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Q: What is the ratio of the volume of the larger cube to the smaller cube?
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The ratio of the sides of two similar cubes 34 the smaller cube has a volume of 729m cubed what is the volume of the larger cube?

It is 28652616 metres^3.


What is the number of 4 cm cubes which can be cut from the solid cube whose edge is 32 cm?

Edge of the larger cube = 32 cm Volume of the larger cube = (32 cm)3 = 32768 cm3 Edge of the smaller cube = 4 cm Volume of the smaller cube = (4 cm)3 = 64 cm3 Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube. ∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube ⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube ⇒ Total number of smaller cubes = 32768 ÷ 64 = 512 Thus, 512 smaller cubes can be cut from the larger one.


Calculate the surface-area-to-volume ratio of a 1 mm cube and a 2 mm cube Which has the smaller ratio?

1mm cube has volume of 1mm3 and a surface area of 6*(1*1) = 6mm²2mm cube has a volume of 8mm3 and a surface area of 6(2*2)=24mm²Ratio for 1mm cube is 6-1 and ratio for 2mm cube is 3-1 ■


Do Cutting a larger cube into smaller cubes changes the surface-area-to-volume ratio?

Each cut exposes new surface (that was previously in the interior of the cube) without changing the total volume, so yes. If you have two numbers, and one of them changes when the other doesn't, the ratio between the two numbers will change.


Describe what happens to the surface area to volume ratio for larger and larger cubes?

For a cube with edge length, L. Surface area = 6L2. Volume = L3. So ratio of Surface Area / Volume = 6 / L. Therefore, as the side length, L, increases, the ratio will decrease.


What is the similarity ratio of a cube with volume 729 to a cube with volume 3375?

3:5


If you have a cube and a sphere that weigh the same but only the cube will float what does that tell you about the volume?

The cube has a larger volume.


What is the relationship between cube size and surface area-to-volume ratio?

The ratio of the surface area of a cube to its volume is inversely proportional to the length of its side.


What is the difference in volume between a 13 ft cube and a 10 ft cube?

A cube thirteen feet to a side has a volume of 2197 cubic feet. A cube ten feet to a side has a volume of 1000 cubic feet. The larger cube has 1197 cubic feet, or 119.7 percent, more volume over the smaller one.


What is the similarity ratio of a cube with volume 729 m cubed to a cube with a volume 3375 m cubed?

The sides (linear dimensions) of the cubes are in the ratio of 0.6 .


The smaller the cell the smaller its ratio of surface area to volume?

It really depends on the cell. Different cells have different ratios, as each cell has a relatively unique length, width, and height. To find the surface area to volume ratio, divide the cell's surface area by the cell's volume.surface area= 6 x (length x length)volume= length x width x heightratio= surface area/volumeI really hope this helps, because besides the fact that unhelpful answers are frustrating, I have also just wasted my time by writing this and yours by having you read this!


How does the surface area to volume ratio change as the cell size increases?

It decreases. As the dimensions increase by a number, the surface area increases by the same number to the power of 2, but the volume increases by the same number to the power of 3, meaning that the volume increases faster than the surface area.