First we neeed to find the volume of the rectangular prism
Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216
The number of cubes needed to fill the prism without gaps or overlaps =
Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
For the answer to the question above, I believe the answer is simply <u><em>8.
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2 groups divided into four participants. So all in all people needed is 8.
I hope this helped you. Have a nice day!
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Yes it is keep up the good work
