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just olya [345]
3 years ago
6

(Giving 100 pts, help fast!!!) Four congruent square pieces with lengths of sides of 6 cm were cut out of corners of a square pi

ece of cardboard. Then this piece of cardboard was folded into an open-top box. Find the original dimensions of the piece of cardboard if the volume of the resulting box is 486 cm3.
Mathematics
2 answers:
Tamiku [17]3 years ago
5 0

Answer:

21x21 cm

Step-by-step explanation:

Volume =whl

Given: V=486, and h=6, and w=l

So we can it into this equation: 486=6(l^2)

to solve we isolate the variable by dividing each side by factors that don't contain the variable.

which therefore l = 9

Then we add 6(height) +9(l)+6(width)

6+9+6=21 therefore the sides of cardboard are 21 cm × 21 cm

Vesnalui [34]3 years ago
4 0

Answer:

21cm^2

Step-by-step explanation:

V=B*h

B=(x-12)^2

h=6

(x-12)^2*6=486

Solve using quadratic equation and you get 21 and 3.

3 doesn't work so it is 21

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Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

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Step-by-step explanation:

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Olenka [21]

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The answers are option C) segment and option D) ray

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Line :

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Ray :

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