Question

The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?(1 point)

216 mm2
16 mm2
68 mm2
147 mm2

Answer 1

[AI-generated answer — Bot GPT 3.5]

147 mm2

To find the surface area of the larger solid, we first need to find the scale factor between the two solids. The scale factor can be found by taking the cube root of the ratio of their volumes:

Volume ratio = 857.5 mm3 / 540 mm3 = 1.587

Scale factor = ∛1.587 ≈ 1.15

Now, if we know the surface area of the smaller solid is 108 mm2, we can find the surface area of the larger solid by squaring the scale factor:

Surface area of larger solid = (1.15)2 * 108 mm2 ≈ 147 mm2

Therefore, the surface area of the larger solid is 147 mm2.