36.483, approx.
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-11
3993
It is a cubed number because 11*11*11 = 1331
There are three solutions for any cube root. The principal, real, root is 11.
The ratio of the surface areas of two similar figures is equal to the square of the ratio of their corresponding linear dimensions. Given the surface areas are 27 and 1331, the ratio of their corresponding linear dimensions is the square root of ( \frac{1331}{27} ). Since the volume ratio is the cube of the linear dimension ratio, we can find the larger volume by calculating ( \frac{1331}{27} ) and then multiplying the smaller volume (18) by the cube of that ratio. The larger volume is therefore ( 18 \times \left(\frac{1331}{27}\right)^{\frac{3}{2}} = 486 ).