d maayos na sagot mamatay na staka ⚠️rereport ko⚠️
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d maayos na sagot mamatay na staka ⚠️rereport ko⚠️
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[email protected] report mo ako
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name ko luis peke manzano
Answer:
\large{\mathcal{QUESTION:}}QUESTION:
A 120 inches of clay is to be molded to make a rectangular block with dimensions 2× inches high by × + 4 inches long by × + 3 inches wide. What is the length of the block?
\begin{gathered} \\ \end{gathered}
\large{\mathcal{SOLUTION:}}SOLUTION:
Using the Volume formula of rectangular solid.
Volume = Length × Width × Height
120 = (x+4)(x+3)(2x)
120 = (x²+4x+3x+12)(2x)
120 = (x²+7x+12)(2x)
120 = 2x³+14x²+24x
0 = 2x³+14x²+24x-120
0/2 = (2x³+14x²+24x-120)/2
0 = x³+7x²+12x-60
0 = (x-2)(x²+9x+30)
Get the positive root:
x-2 = 0
x = 2
\begin{gathered} \\ \end{gathered}
Now substitute the value of x to the dimensions:
Length = x+4 = 2+4 = 6inches
Width = x+3 = 2+3 = 5inches
Height = 2x = 2(2) = 4inches
\begin{gathered} \\ \end{gathered}
Conclusion: The dimension measures 6inches long , 5 inches wide , and 4 inches high.
\begin{gathered} \\ \end{gathered}
\large{\mathcal{ANSWER:}}ANSWER:
The length measures 6 inches