The volumes of two similar solids are 729m^3 and 125m^3. The surface are of the larger solid is 324m^2. What is the surface area of the smaller solid?

100 m²

Step-by-step explanation:

The two solids seem to have volumes of side³

Since the larger solid is the cubed root of 9 and the smaller solid is the cubed root of 5.

The surface are of the larger solid is the square root of 18, which is also 9 × 9 × 4 which translates to side² × 4

Using this information we can apply this formula to find the surface area of the smaller solid: side² × 4 = (5)² × 4 = 100 m²

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step-by-step explanation:

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

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factorizing, we get that:

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then, the solutions are: or

nothing extraneous has been found!