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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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Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

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y represent the number of hours he worked in June.

the amount he earned in June was

11\cdot y=11y

Step 2

the amount of money he earned is May and June is the sum of the values

\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}

I hope this helps you

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Alex17521 [72]
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Step-by-step explanation:

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Evaluate [(40 + 5) - 3^2] divided by 9 times 2
Irina-Kira [14]
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Which graph represents y = StartRoot x EndRootWhat is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFrac
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The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

<h3>What is the graph of the parent function (y)?</h3>

The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a  function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.

From the given information,

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In the second question:

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Multiply by LCM

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Learn more about the graph of a function here:

brainly.com/question/3939432

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