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d1i1m1o1n [39]
3 years ago
12

I don't understand on how to get the answer for

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

1/2 + 1/4 =

= 2/4 + 1/4

= 3/4

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?
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Answer:

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Step-by-step explanation:

Given as :

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Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) = (\frac{1}{3})^{3}  cm³

Or,  Volume of cube with length (l) = (\frac{1}{27})  cm³

Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

Or, Volume of prism = \frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}

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<u>So , The number of cubes to fill prism  </u>

 The number of cubes × Volume of cube = Volume of prism

Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

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