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sammy [17]
4 years ago
6

A cube with an edge of length s has the same volume as a rectangular solid with dimensions 3 by 8 by 9. What is the value of s?

Mathematics
2 answers:
olga_2 [115]4 years ago
6 0

Value?

The Value should be 3x8x9=24x9= 216

s=6

castortr0y [4]4 years ago
4 0

Volume of rectangular solid =3*8*9 = 216 cubic units

So:-

Volume of cube = s^3 = 216


s = cube root of 216 = 6 units Answer.

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RUDIKE [14]
The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:
\sqrt{( x_{2} - x_{1} ) ^{2} +( y_{2}- y_{1} ) ^{2}  }
For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:
\sqrt{(3-2) ^{2}+(4-3) ^{2}  }
which simplifies to
\sqrt{(1 )^{2}+(1) ^{2}  } which is \sqrt{2}
So that is the length of both MN and LM.  So far our perimeter is \sqrt{2} + \sqrt{2}=2 \sqrt{2}
Now let's use the same formula to find out the length of one of the longer segments:
\sqrt{(5-3) ^{2} +(3-2) ^{2} }
which simplifies down to
\sqrt{(2) ^{2} +(1) ^{2} }
which is of course \sqrt{5}
Since we have 2 of those lengths, \sqrt{5} + \sqrt{5}=2 \sqrt{5}
So our perimeter is, in the end, 2 \sqrt{2}+2 \sqrt{5}
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