Answer:
surface area of the smaller solid will be 96.40m².
Step-by-step explanation:
Volumes of two similar solids are 1331 m³ and 216 m³
Since volume is a three dimensional unit means its a multiplication of 3 dimensions, so cube root of ratio of volume gives us the ratio of dimensions.
![\frac{V_{1} }{V_{2}}=\frac{216}{1331}=\sqrt[3]{\frac{216}{1331}}=\frac{6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7B1%7D%20%7D%7BV_%7B2%7D%7D%3D%5Cfrac%7B216%7D%7B1331%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B216%7D%7B1331%7D%7D%3D%5Cfrac%7B6%7D%7B11%7D)
Similarly ratio of surface areas will be equal to the square of the ratio of dimensions.


By cross multiplication


therefore, surface area of the smaller solid will be 96.40m².