Let the volume of the smaller solid be V and its surface area be A.
Let x be the ratio of volumes between the larger and smaller solid:
x = V / 1795
Since the surface area is proportional to the square of the ratio of lengths, we can write:
384 / 1057 = x^2
x = sqrt(384 / 1057)
Now we can find the volume of the smaller solid:
V = x * 1795
V = sqrt(384 / 1057) * 1795
V ≈ 653.07 cubic units
Therefore, the volume of the smaller solid is approximately 653.07 cubic units.
There are two similar solids. The surface areas are 384 square units and 1057 square units. The volume of the larger solid is 1795 cubic units. What is the volume of the smaller solid?(1 point)
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