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Lilit [14]
3 years ago
6

NOT TO

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

<u>Large container</u>

Volume : 3456 cm³

Surface area : 1024 cm²

<u>Small container</u>

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

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