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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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They are the same measurements, because:

from 10x + 5, first do vertical angle.

then, alternate interior angle,

then vertical angle again,

and another alternate interior angle.

For each vertical and alternate interior angles, the measurements stay the same.


Set them equal to each other, isolate and solve for x.

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First, isolate the x. Subtract 10x from both sides, and add 1 to both sides

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Simplify

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hope this helps

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</span>
Hope this helps! If you have any other questions or would like further explanation just let me know! :)



3 0
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