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sweet [91]
3 years ago
8

An office supply warehouse has large boxes of folders. Each box has 550 folders. How many folders are there in 23 boxes?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0

Step-by-step explanation:

take

5501

- 23

_____

12,650 folders.

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Step-by-step explanation:

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V=\frac{s^2h}{3}

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Find the height with the Pythagorean Theorem:

a^2=b^2+c^2

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h

Then, you can find the height:

(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm

Then, knowing that:

s=23mm\\h=23.318mm

You can calculate the volume:

 V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3

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