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Aleks [24]
3 years ago
10

The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. F

ind the surface area and volume of the large figure.
Scale factor: 4:5

Surface area: 160

volume: 704

Surface area: ?

volume: ?
Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:

Surface area: 250

Volume: 1375

Step-by-step explanation:

Scale factor: 4:5

This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So

S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250

Volume:

The volume is found multiplying the cube of the change(5/4) by the original volume(704). So

S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375

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