The volumes of two similar solids are 1,728 m^3 and 343 m^3. the surface area of the larger solid is 576 m^2. what is the surface area of the smaller solid? a. 196 m^2 b. 76m^2 c. 1,372m^2 d. 392 m^2

Option a. 196 m²

Step-by-step explanation:

Volumes of two similar solids are 1728 m³ and 343 m³

So the ratio of these volumes =

Now we know volume is a three dimensional unit so we find the cube root of the ratio of the volumes to find the ratio of sides.

Scale factor =

Now we know area of solids is a two dimensional unit so we will square the scale factor and this will be the ratio of area

(Scale factor)² = = (Surface area of smaller solid)/(surface area of larger solid)

Area of larger solid = 576 m²

Surface area of of the smaller solid = 196 m²

Option A. is the answer.

after simplifying it i got: -36.25 as my answer. hope that !

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hope this !