To find the surface area of the smaller figure, you first need to find the scale factor between the two figures. The scale factor is the cube root of the ratio of their volumes.
Scale factor = cube root (4375/2240) ≈ 1.318
Next, you need to square the scale factor to find the ratio of the surface areas.
(1.318)^2 ≈ 1.737
Finally, multiply the surface area of the larger figure to find the surface area of the smaller figure.
1600 m^2 / 1.737 ≈ 920.55 m^2
Therefore, the surface area of the smaller figure is approximately 920.55 m^2.
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Part 1
The volumes of two similar figures are given. The surface area of the larger figure is given. Find the surface area of the smaller figure.
smaller: Upper Vequals2240 m cubed
bigger: Upper Vequals4375 m cubed
bigger: S.A.equals1600 m squared
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