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3 years ago

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An open box with a square base is to be made from a square piece of cardboard 12 inches on a side by cutting out a square from e

ach corner and turning up the sides. what is the volume of the box if a 3-inch square is cut out?

1 answer:

const2013 [10]3 years ago

8 0

36 is your answer hope this helps

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I'm not sure that this is what you wanted, but the solution is x = 2500
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Note: when we have no number as the logarithmic base, it is 10 by default.

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(3,6) (5,8)?____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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3 years ago

Read 2 more answers

The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).

In-s [12.5K]

(i)
$A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
\\m_{BC}m_{AB}=-1
\\ 
\\m_{BC}= \frac{-1}{m_{AB}} = \frac{-1}{-2}= \frac{1}{2} 
\\
\\B(1,6)\Rightarrow x_1=1,y_1=6
\\
\\BC:y-y_1=m_{BC}(x-x_1)
\\
\\y-6= \frac{1}{2}(x-1)
\\
\\2y-12=x-1
\\x-2y+11=0$

(ii)
$AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
\\
\\x-2(x-1)+11=0
\\x-2x+2+11=0
\\x=13
\\y=x-1=13-1=12
\\C(13,12)$

(iii)
$A(3,2)B(1,6),C(13,12)
\\P=2(d(A,B)+d(B,C))
\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20} =2 \sqrt{5} 
\\
\\d(B,C)= \sqrt{(13-1)^2+(12-6)^2}= \sqrt{180}= 6\sqrt{5} 
\\ 
\\P=2(2 \sqrt{5}+6 \sqrt{5})=2\times8 \sqrt{5} =16 \sqrt{5}$

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3 years ago